120400320 has 112 divisors (see below), whose sum is σ = 385072128. Its totient is φ = 31872000.

The previous prime is 120400289. The next prime is 120400333. The reversal of 120400320 is 23004021.

It is a super-2 number, since 2×120400320² = 28992474112204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120400296 and 120400305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159945 + ... + 160695.

It is an arithmetic number, because the mean of its divisors is an integer number (3438144).

Almost surely, 2^120400320 is an apocalyptic number.

120400320 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 120400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192536064).

120400320 is an abundant number, since it is smaller than the sum of its proper divisors (264671808).

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

120400320 is a wasteful number, since it uses less digits than its factorization.

120400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 120400320 is about 10972.7079611188. The cubic root of 120400320 is about 493.7902916433.

Adding to 120400320 its reverse (23004021), we get a palindrome (143404341).

The spelling of 120400320 in words is "one hundred twenty million, four hundred thousand, three hundred twenty".