120938400 has 288 divisors, whose sum is σ = 478094400. Its totient is φ = 29260800.

The previous prime is 120938359. The next prime is 120938407. The reversal of 120938400 is 4839021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120938407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237346 + ... + 237854.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^120938400 is an apocalyptic number.

120938400 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 120938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

120938400 is an abundant number, since it is smaller than the sum of its proper divisors (357156000).

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

120938400 is a wasteful number, since it uses less digits than its factorization.

120938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120938400 is about 10997.1996435456. The cubic root of 120938400 is about 494.5247964725.

Adding to 120938400 its product of nonzero digits (1728), we get a triangular number (120940128 = T₁₅₅₅₂).

The spelling of 120938400 in words is "one hundred twenty million, nine hundred thirty-eight thousand, four hundred".