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120012210122022 = 2338398172727563
BaseRepresentation
bin11011010010011010000101…
…001001110010110100100110
3120201221001111021021111112000
4123102122011021302310212
5111212240001242401042
61103124503114110130
734164411305413431
oct3322320511626446
9521831437244460
10120012210122022
113526a98a9a1649
121156320641b346
1351c7144c80a4a
14218c89c946818
15dd1bd657e74c
hex6d2685272d26

120012210122022 has 64 divisors (see below), whose sum is σ = 269934571388160. Its totient is φ = 39518052921792.

The previous prime is 120012210121963. The next prime is 120012210122093. The reversal of 120012210122022 is 220221012210021.

It is a happy number.

120012210122022 is a `hidden beast` number, since 1 + 200 + 1 + 221 + 0 + 1 + 220 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120012210121986 and 120012210122004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42636013 + ... + 45363575.

It is an arithmetic number, because the mean of its divisors is an integer number (4217727677940).

Almost surely, 2120012210122022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120012210122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134967285694080).

120012210122022 is an abundant number, since it is smaller than the sum of its proper divisors (149922361266138).

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

120012210122022 is a wasteful number, since it uses less digits than its factorization.

120012210122022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737474 (or 2737468 counting only the distinct ones).

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

Adding to 120012210122022 its reverse (220221012210021), we get a palindrome (340233222332043).

The spelling of 120012210122022 in words is "one hundred twenty trillion, twelve billion, two hundred ten million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 4482 9817 19634 29451 58902 88353 176706 265059 530118 814811 1629622 2444433 2727563 4888866 5455126 7333299 8182689 14666598 16365378 21999897 24548067 43999794 49096134 73644201 147288402 226387729 452775458 679163187 1358326374 2037489561 4074979122 6112468683 12224937366 26776485971 53552971942 80329457913 160658915826 240988373739 481976747478 722965121217 1445930242434 2222448335593 4444896671186 6667345006779 13334690013558 20002035020337 40004070040674 60006105061011 120012210122022