120890400 has 144 divisors (see below), whose sum is σ = 416785824. Its totient is φ = 30330880.

The previous prime is 120890389. The next prime is 120890423. The reversal of 120890400 is 4098021.

It is a super-2 number, since 2×120890400² = 29228977624320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent 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, 39319 + ... + 42281.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346).

Almost surely, 2^120890400 is an apocalyptic number.

120890400 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 120890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208392912).

120890400 is an abundant number, since it is smaller than the sum of its proper divisors (295895424).

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

120890400 is a wasteful number, since it uses less digits than its factorization.

120890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 120890400 is about 10995.0170531928. The cubic root of 120890400 is about 494.4593627990.

The spelling of 120890400 in words is "one hundred twenty million, eight hundred ninety thousand, four hundred".