120338400 has 576 divisors, whose sum is σ = 524966400. Its totient is φ = 23224320.

The previous prime is 120338389. The next prime is 120338401. The reversal of 120338400 is 4833021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120338401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4149586 + ... + 4149614.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^120338400 is an apocalyptic number.

120338400 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 120338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262483200).

120338400 is an abundant number, since it is smaller than the sum of its proper divisors (404628000).

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

120338400 is a wasteful number, since it uses less digits than its factorization.

120338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 120338400 is about 10969.8860522797. The cubic root of 120338400 is about 493.7056275886.

The spelling of 120338400 in words is "one hundred twenty million, three hundred thirty-eight thousand, four hundred".