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12321010032 = 2431783181919
BaseRepresentation
bin10110111100110001…
…11011000101110000
31011210200011011022220
423132120323011300
5200213134310112
65354334001040
7614216600022
oct133630730560
934720134286
1012321010032
115252986221
12247a346180
13121480a6a6
1484c500012
154c1a2e98c
hex2de63b170

12321010032 has 80 divisors (see below), whose sum is σ = 34107816960. Its totient is φ = 3818822656.

The previous prime is 12321010019. The next prime is 12321010057. The reversal of 12321010032 is 23001012321.

It is a junction number, because it is equal to n+sod(n) for n = 12321009993 and 12321010020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23232 + ... + 158687.

It is an arithmetic number, because the mean of its divisors is an integer number (426347712).

Almost surely, 212321010032 is an apocalyptic number.

12321010032 is a gapful number since it is divisible by the number (12) 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 12321010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053908480).

12321010032 is an abundant number, since it is smaller than the sum of its proper divisors (21786806928).

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

12321010032 is a wasteful number, since it uses less digits than its factorization.

12321010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182030 (or 182024 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12321010032 its reverse (23001012321), we get a palindrome (35322022353).

The spelling of 12321010032 in words is "twelve billion, three hundred twenty-one million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 83 102 136 166 204 249 272 332 408 498 664 816 996 1328 1411 1992 2822 3984 4233 5644 8466 11288 16932 22576 33864 67728 181919 363838 545757 727676 1091514 1455352 2183028 2910704 3092623 4366056 6185246 8732112 9277869 12370492 15099277 18555738 24740984 30198554 37111476 45297831 49481968 60397108 74222952 90595662 120794216 148445904 181191324 241588432 256687709 362382648 513375418 724765296 770063127 1026750836 1540126254 2053501672 3080252508 4107003344 6160505016 12321010032