120155313600 has 672 divisors, whose sum is σ = 507534103040. Its totient is φ = 27082874880.

The previous prime is 120155313533. The next prime is 120155313637. The reversal of 120155313600 is 6313551021.

120155313600 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 5 + 53 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22072479 + ... + 22077921.

Almost surely, 2^120155313600 is an apocalyptic number.

120155313600 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 120155313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253767051520).

120155313600 is an abundant number, since it is smaller than the sum of its proper divisors (387378789440).

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

120155313600 is a wasteful number, since it uses less digits than its factorization.

120155313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 120155313600 its reverse (6313551021), we get a palindrome (126468864621).

The spelling of 120155313600 in words is "one hundred twenty billion, one hundred fifty-five million, three hundred thirteen thousand, six hundred".