120336825600 has 486 divisors, whose sum is σ = 457090946130. Its totient is φ = 30198005760.

The previous prime is 120336825593. The next prime is 120336825649. The reversal of 120336825600 is 6528633021.

It is a happy number.

120336825600 is a `hidden beast` number, since 1 + 2 + 0 + 33 + 68 + 2 + 560 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 2022840576 + 118313985024 = 44976^2 + 343968^2 .

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 53 ways as a sum of consecutive naturals, for example, 16642786 + ... + 16650014.

Almost surely, 2^120336825600 is an apocalyptic number.

120336825600 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 120336825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228545473065).

120336825600 is an abundant number, since it is smaller than the sum of its proper divisors (336754120530).

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

120336825600 is a wasteful number, since it uses less digits than its factorization.

120336825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7295 (or 7256 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 120336825600 in words is "one hundred twenty billion, three hundred thirty-six million, eight hundred twenty-five thousand, six hundred".