129906513072000 has 3456 divisors, whose sum is σ = 588783810232800. Its totient is φ = 28379886796800.

The previous prime is 129906513071989. The next prime is 129906513072029. The reversal of 129906513072000 is 270315609921.

It is a happy number.

129906513072000 is a `hidden beast` number, since 1 + 2 + 9 + 90 + 6 + 51 + 307 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 100780847356 + ... + 100780848644.

Almost surely, 2^{129906513072000} is an apocalyptic number.

129906513072000 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 129906513072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294391905116400).

129906513072000 is an abundant number, since it is smaller than the sum of its proper divisors (458877297160800).

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

129906513072000 is an equidigital number, since it uses as much as digits as its factorization.

129906513072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 129906513072000 in words is "one hundred twenty-nine trillion, nine hundred six billion, five hundred thirteen million, seventy-two thousand".