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12130111532 = 22711298915259
BaseRepresentation
bin10110100110000001…
…01101000000101100
31011022100221111211002
423103000231000230
5144320302032112
65323354215432
7606411150440
oct132300550054
934270844732
1012130111532
11516514a370
122426424578
1311b40bbcb6
1483100a820
154aedc21c2
hex2d302d02c

12130111532 has 96 divisors (see below), whose sum is σ = 27687744000. Its totient is φ = 4511485440.

The previous prime is 12130111529. The next prime is 12130111559. The reversal of 12130111532 is 23511103121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787319 + ... + 802577.

It is an arithmetic number, because the mean of its divisors is an integer number (288414000).

Almost surely, 212130111532 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 12130111532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13843872000).

12130111532 is an abundant number, since it is smaller than the sum of its proper divisors (15557632468).

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

12130111532 is a wasteful number, since it uses less digits than its factorization.

12130111532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15399 (or 15397 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 12130111532 its reverse (23511103121), we get a palindrome (35641214653).

The spelling of 12130111532 in words is "twelve billion, one hundred thirty million, one hundred eleven thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 89 116 154 178 203 308 319 356 406 623 638 812 979 1246 1276 1958 2233 2492 2581 3916 4466 5162 6853 8932 10324 13706 15259 18067 27412 28391 30518 36134 56782 61036 72268 106813 113564 167849 198737 213626 335698 397474 427252 442511 671396 794948 885022 1174943 1358051 1770044 2349886 2716102 3097577 4699772 4867621 5432204 6195154 9506357 9735242 12390308 14938561 19012714 19470484 29877122 34073347 38025428 39383479 59754244 68146694 78766958 104569927 136293388 157533916 209139854 275684353 418279708 433218269 551368706 866436538 1102737412 1732873076 3032527883 6065055766 12130111532