120807604400 has 120 divisors (see below), whose sum is σ = 332343844704. Its totient is φ = 41339750400.

The previous prime is 120807604349. The next prime is 120807604403. The reversal of 120807604400 is 4406708021.

It is not an unprimeable number, because it can be changed into a prime (120807604403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417394 + ... + 1500206.

Almost surely, 2^120807604400 is an apocalyptic number.

120807604400 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 120807604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166171922352).

120807604400 is an abundant number, since it is smaller than the sum of its proper divisors (211536240304).

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

120807604400 is a wasteful number, since it uses less digits than its factorization.

120807604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83359 (or 83348 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 120807604400 in words is "one hundred twenty billion, eight hundred seven million, six hundred four thousand, four hundred".