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12013210032 = 243893897229
BaseRepresentation
bin10110011000000101…
…10000100110110000
31011000012222022002220
423030002300212300
5144100340210112
65304020441040
7603461412645
oct131402604660
934005868086
1012013210032
11510516455a
1223b3249180
131195b0b505
1481d699dcc
154a49ce98c
hex2cc0b09b0

12013210032 has 80 divisors (see below), whose sum is σ = 31467852000. Its totient is φ = 3948685312.

The previous prime is 12013209991. The next prime is 12013210051. The reversal of 12013210032 is 23001231021.

It is a junction number, because it is equal to n+sod(n) for n = 12013209993 and 12013210020.

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 15 ways as a sum of consecutive naturals, for example, 1658194 + ... + 1665422.

It is an arithmetic number, because the mean of its divisors is an integer number (393348150).

Almost surely, 212013210032 is an apocalyptic number.

12013210032 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 12013210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733926000).

12013210032 is an abundant number, since it is smaller than the sum of its proper divisors (19454641968).

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

12013210032 is a wasteful number, since it uses less digits than its factorization.

12013210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 7712 counting only the distinct ones).

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

Adding to 12013210032 its reverse (23001231021), we get a palindrome (35014441053).

The spelling of 12013210032 in words is "twelve billion, thirteen million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 389 534 712 778 1068 1167 1424 1556 2136 2334 3112 4272 4668 6224 7229 9336 14458 18672 21687 28916 34621 43374 57832 69242 86748 103863 115664 138484 173496 207726 276968 346992 415452 553936 643381 830904 1286762 1661808 1930143 2573524 2812081 3860286 5147048 5624162 7720572 8436243 10294096 11248324 15441144 16872486 22496648 30882288 33744972 44993296 67489944 134979888 250275209 500550418 750825627 1001100836 1501651254 2002201672 3003302508 4004403344 6006605016 12013210032