120906400 has 72 divisors (see below), whose sum is σ = 308042784. Its totient is φ = 46252800.

The previous prime is 120906389. The next prime is 120906403. The reversal of 120906400 is 4609021.

It is not an unprimeable number, because it can be changed into a prime (120906403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15115 + ... + 21685.

It is an arithmetic number, because the mean of its divisors is an integer number (4278372).

Almost surely, 2^120906400 is an apocalyptic number.

120906400 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 120906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154021392).

120906400 is an abundant number, since it is smaller than the sum of its proper divisors (187136384).

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

120906400 is a wasteful number, since it uses less digits than its factorization.

120906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6614 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 120906400 is about 10995.7446314472. The cubic root of 120906400 is about 494.4811759477.

The spelling of 120906400 in words is "one hundred twenty million, nine hundred six thousand, four hundred".