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12010120122 = 23711135933893
BaseRepresentation
bin10110010111101101…
…11110001110111010
31011000000011022112210
423023312332032322
5144044042320442
65303430315550
7603423223320
oct131366761672
934000138483
1012010120122
115103444010
1223b21b8bb6
131195298c70
1481d0d3d10
154a45be19c
hex2cbdbe3ba

12010120122 has 128 divisors (see below), whose sum is σ = 32798545920. Its totient is φ = 2830659840.

The previous prime is 12010120079. The next prime is 12010120147. The reversal of 12010120122 is 22102101021.

It is a junction number, because it is equal to n+sod(n) for n = 12010120098 and 12010120107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337408 + ... + 371300.

It is an arithmetic number, because the mean of its divisors is an integer number (256238640).

Almost surely, 212010120122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399272960).

12010120122 is an abundant number, since it is smaller than the sum of its proper divisors (20788425798).

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

12010120122 is a wasteful number, since it uses less digits than its factorization.

12010120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33988.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010120122 its reverse (22102101021), we get a palindrome (34112221143).

The spelling of 12010120122 in words is "twelve billion, ten million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 59 66 77 78 91 118 143 154 177 182 231 273 286 354 413 429 462 546 649 767 826 858 1001 1239 1298 1534 1947 2002 2301 2478 3003 3894 4543 4602 5369 6006 8437 9086 10738 13629 16107 16874 25311 27258 32214 33893 50622 59059 67786 101679 118118 177177 203358 237251 354354 372823 440609 474502 711753 745646 881218 1118469 1321827 1423506 1999687 2236938 2609761 2643654 3084263 3999374 4846699 5219522 5999061 6168526 7829283 9252789 9693398 11998122 13997809 14540097 15658566 18505578 21996557 25995931 27995618 29080194 33926893 41993427 43993114 51991862 65989671 67853786 77987793 83986854 101780679 131979342 153975899 155975586 181971517 203561358 285955241 307951798 363943034 461927697 545914551 571910482 857865723 923855394 1091829102 1715731446 2001686687 4003373374 6005060061 12010120122