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21222121000120 = 23541479160716811
BaseRepresentation
bin1001101001101001010001…
…11110111100110010111000
32210010211000002201212001221
410310310220332330302320
510240200400434000440
6113045150252321424
74320150641101435
oct464645076746270
983124002655057
1021222121000120
116842284054a07
122468ba5473274
13bac311807911
14535228622b8c
1526c081b01d4a
hex134d28fbccb8

21222121000120 has 128 divisors (see below), whose sum is σ = 49049938022400. Its totient is φ = 8258879411200.

The previous prime is 21222121000109. The next prime is 21222121000123. The reversal of 21222121000120 is 2100012122212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21222121000094 and 21222121000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222121000123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1262386515 + ... + 1262403325.

It is an arithmetic number, because the mean of its divisors is an integer number (383202640800).

Almost surely, 221222121000120 is an apocalyptic number.

21222121000120 is a gapful number since it is divisible by the number (20) 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 21222121000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24524969011200).

21222121000120 is an abundant number, since it is smaller than the sum of its proper divisors (27827817022280).

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

21222121000120 is a wasteful number, since it uses less digits than its factorization.

21222121000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18949 (or 18945 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21222121000120 its reverse (2100012122212), we get a palindrome (23322133122332).

The spelling of 21222121000120 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 479 820 958 1607 1640 1916 2395 3214 3832 4790 6428 8035 9580 12856 16070 16811 19160 19639 32140 33622 39278 64280 65887 67244 78556 84055 98195 131774 134488 157112 168110 196390 263548 329435 336220 392780 527096 658870 672440 689251 769753 785560 1317740 1378502 1539506 2635480 2757004 3079012 3446255 3848765 5514008 6158024 6892510 7697530 8052469 13785020 15395060 16104938 27015277 27570040 30790120 31559873 32209876 40262345 54030554 63119746 64419752 80524690 108061108 126239492 135076385 157799365 161049380 216122216 252478984 270152770 315598730 322098760 330151229 540305540 631197460 660302458 1080611080 1107626357 1262394920 1320604916 1650756145 2215252714 2641209832 3301512290 4430505428 5538131785 6603024580 8861010856 11076263570 12940317683 13206049160 22152527140 25880635366 44305054280 51761270732 64701588415 103522541464 129403176830 258806353660 517612707320 530553025003 1061106050006 2122212100012 2652765125015 4244424200024 5305530250030 10611060500060 21222121000120