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12120422132 = 22713417971019
BaseRepresentation
bin10110100100110111…
…01111011011110100
31011021200201020110102
423102123233123310
5144310312002012
65322410413232
7606232613450
oct132233573364
934250636412
1012120422132
11515a7315a5
122423131218
1311b20a8920
1482da07660
154ae10b2c2
hex2d26ef6f4

12120422132 has 96 divisors (see below), whose sum is σ = 26802074880. Its totient is φ = 4667489280.

The previous prime is 12120422131. The next prime is 12120422147. The reversal of 12120422132 is 23122402121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120422131) 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, 11893919 + ... + 11894937.

It is an arithmetic number, because the mean of its divisors is an integer number (279188280).

Almost surely, 212120422132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120422132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13401037440).

12120422132 is an abundant number, since it is smaller than the sum of its proper divisors (14681652748).

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

12120422132 is a wasteful number, since it uses less digits than its factorization.

12120422132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12120422132 its reverse (23122402121), we get a palindrome (35242824253).

The spelling of 12120422132 in words is "twelve billion, one hundred twenty million, four hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 797 1019 1066 1148 1594 2038 2132 3188 3731 4076 5579 7133 7462 10361 11158 13247 14266 14924 20722 22316 26494 28532 32677 41444 41779 52988 65354 72527 83558 92729 130708 145054 167116 185458 228739 290108 292453 370916 424801 457478 543127 584906 812143 849602 914956 1086254 1169812 1624286 1699204 2172508 2973607 3248572 3801889 5685001 5947214 7603778 10557859 11370002 11894428 15207556 21115718 22740004 33297863 42231436 66595726 73905013 133191452 147810026 233085041 295620052 432872219 466170082 865744438 932340164 1731488876 3030105533 6060211066 12120422132