120132899625600 has 480 divisors, whose sum is σ = 443714768768700. Its totient is φ = 32006682869760.

The previous prime is 120132899625587. The next prime is 120132899625649. The reversal of 120132899625600 is 6526998231021.

120132899625600 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 3 + 2 + 8 + 9 + 9 + 6 + 25 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 42374788006464 + 77758111619136 = 6509592^2 + 8818056^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 289318936 + ... + 289733864.

Almost surely, 2^{120132899625600} is an apocalyptic number.

120132899625600 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 120132899625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221857384384350).

120132899625600 is an abundant number, since it is smaller than the sum of its proper divisors (323581869143100).

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

120132899625600 is a wasteful number, since it uses less digits than its factorization.

120132899625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416082 (or 416056 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 120132899625600 in words is "one hundred twenty trillion, one hundred thirty-two billion, eight hundred ninety-nine million, six hundred twenty-five thousand, six hundred".