12659726131200 has 504 divisors, whose sum is σ = 47026894544448. Its totient is φ = 3375913697280.

The previous prime is 12659726131159. The next prime is 12659726131219. The reversal of 12659726131200 is 213162795621.

12659726131200 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 9 + 7 + 2 + 613 + 1 + 20 + 0 = 666.

It is a super-2 number, since 2×12659726131200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49639209 + ... + 49893591.

Almost surely, 2^{12659726131200} is an apocalyptic number.

12659726131200 is a gapful number since it is divisible by the number (10) 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 12659726131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23513447272224).

12659726131200 is an abundant number, since it is smaller than the sum of its proper divisors (34367168413248).

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

12659726131200 is an frugal number, since it uses more digits than its factorization.

12659726131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254434 (or 254393 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12659726131200 in words is "twelve trillion, six hundred fifty-nine billion, seven hundred twenty-six million, one hundred thirty-one thousand, two hundred".