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120210212022012 = 223272774243405871
BaseRepresentation
bin11011010101010010011110…
…111111000110011011111100
3120202121222120100210012002100
4123111102132333012123330
5111224011003234201022
61103355450430025100
734214621054661120
oct3325223677063374
9522558510705070
10120210212022012
11353369568a3722
1211595664948190
13520ca0b33c608
1421982c3505580
15dd6e243b91ac
hex6d549efc66fc

120210212022012 has 144 divisors (see below), whose sum is σ = 348610643110912. Its totient is φ = 34213633130880.

The previous prime is 120210212021959. The next prime is 120210212022037. The reversal of 120210212022012 is 210220212012021.

It is a happy number.

120210212022012 is a `hidden beast` number, since 1 + 20 + 210 + 212 + 0 + 220 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295975437 + ... + 296381307.

Almost surely, 2120210212022012 is an apocalyptic number.

120210212022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120210212022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174305321555456).

120210212022012 is an abundant number, since it is smaller than the sum of its proper divisors (228400431088900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120210212022012 is a wasteful number, since it uses less digits than its factorization.

120210212022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410408 (or 410403 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120210212022012 its reverse (210220212012021), we get a palindrome (330430424034033).

Subtracting 120210212022012 from its reverse (210220212012021), we obtain a palindrome (90009999990009).

The spelling of 120210212022012 in words is "one hundred twenty trillion, two hundred ten billion, two hundred twelve million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 277 554 831 1108 1662 1939 2493 3324 3878 4243 4986 5817 7756 8486 9972 11634 12729 16972 17451 23268 25458 29701 34902 38187 50916 59402 69804 76374 89103 118804 152748 178206 267309 356412 405871 534618 811742 1069236 1175311 1217613 1623484 2350622 2435226 2841097 3525933 3652839 4701244 4870452 5682194 7051866 7305678 8227177 8523291 10577799 11364388 14103732 14611356 16454354 17046582 21155598 24681531 25569873 32908708 34093164 42311196 49363062 51139746 74044593 98726124 102279492 112426267 148089186 224852534 296178372 337278801 449705068 674557602 786983869 1011836403 1349115204 1573967738 1722110653 2023672806 2360951607 3147935476 3444221306 4047345612 4721903214 5166331959 6888442612 7082854821 9443806428 10332663918 12054774571 14165709642 15498995877 20665327836 24109549142 28331419284 30997991754 36164323713 48219098284 61995983508 72328647426 108492971139 144657294852 216985942278 433971884556 477024650881 954049301762 1431073952643 1908098603524 2862147905286 3339172556167 4293221857929 5724295810572 6678345112334 8586443715858 10017517668501 13356690224668 17172887431716 20035035337002 30052553005503 40070070674004 60105106011006 120210212022012