120310400 has 192 divisors, whose sum is σ = 350602560. Its totient is φ = 39936000.

The previous prime is 120310387. The next prime is 120310427. The reversal of 120310400 is 4013021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918335 + ... + 918465.

It is an arithmetic number, because the mean of its divisors is an integer number (1826055).

Almost surely, 2^120310400 is an apocalyptic number.

120310400 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 120310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301280).

120310400 is an abundant number, since it is smaller than the sum of its proper divisors (230292160).

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

120310400 is a wasteful number, since it uses less digits than its factorization.

120310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 120310400 is about 10968.6097569382. The cubic root of 120310400 is about 493.6673332734.

Adding to 120310400 its reverse (4013021), we get a palindrome (124323421).

The spelling of 120310400 in words is "one hundred twenty million, three hundred ten thousand, four hundred".