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12529804812 = 22373145710529
BaseRepresentation
bin10111010101101010…
…11010011000001100
31012100020001000220220
423222311122120030
5201130112223222
65431153111340
7622333404120
oct135265323014
935306030826
1012529804812
11534a825898
122518258550
131248b53ab5
1486c131580
154d5024b5c
hex2ead5a60c

12529804812 has 96 divisors (see below), whose sum is σ = 34569400320. Its totient is φ = 3456552960.

The previous prime is 12529804811. The next prime is 12529804813. The reversal of 12529804812 is 21840892521.

12529804812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12529804811) and next prime (12529804813).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12529804811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184764 + ... + 1195292.

It is an arithmetic number, because the mean of its divisors is an integer number (360097920).

Almost surely, 212529804812 is an apocalyptic number.

12529804812 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 12529804812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17284700160).

12529804812 is an abundant number, since it is smaller than the sum of its proper divisors (22039595508).

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

12529804812 is a wasteful number, since it uses less digits than its factorization.

12529804812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11031 (or 11029 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 12529804812 in words is "twelve billion, five hundred twenty-nine million, eight hundred four thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 457 651 868 914 1302 1371 1828 2604 2742 3199 5484 6398 9597 10529 12796 14167 19194 21058 28334 31587 38388 42116 42501 56668 63174 73703 85002 99169 126348 147406 170004 198338 221109 294812 297507 326399 396676 442218 595014 652798 884436 979197 1190028 1305596 1958394 2284793 3916788 4569586 4811753 6854379 9139172 9623506 13708758 14435259 19247012 27417516 28870518 33682271 57741036 67364542 101046813 134729084 149164343 202093626 298328686 404187252 447493029 596657372 894986058 1044150401 1789972116 2088300802 3132451203 4176601604 6264902406 12529804812