120907425600 has 1344 divisors, whose sum is σ = 500030496000. Its totient is φ = 28223078400.

The previous prime is 120907425581. The next prime is 120907425629. The reversal of 120907425600 is 6524709021.

120907425600 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 0 + 7 + 42 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1358510356 + ... + 1358510444.

It is an arithmetic number, because the mean of its divisors is an integer number (372046500).

Almost surely, 2^120907425600 is an apocalyptic number.

120907425600 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 120907425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250015248000).

120907425600 is an abundant number, since it is smaller than the sum of its proper divisors (379123070400).

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

120907425600 is a wasteful number, since it uses less digits than its factorization.

120907425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 120907425600 in words is "one hundred twenty billion, nine hundred seven million, four hundred twenty-five thousand, six hundred".