120904000 has 224 divisors, whose sum is σ = 365174784. Its totient is φ = 38707200.

The previous prime is 120903989. The next prime is 120904009. The reversal of 120904000 is 409021.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120904009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951937 + ... + 952063.

Almost surely, 2^120904000 is an apocalyptic number.

120904000 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 120904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182587392).

120904000 is an abundant number, since it is smaller than the sum of its proper divisors (244270784).

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

120904000 is a wasteful number, since it uses less digits than its factorization.

120904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 120904000 is about 10995.6354977782. The cubic root of 120904000 is about 494.4779040981.

The spelling of 120904000 in words is "one hundred twenty million, nine hundred four thousand".