120156000 has 384 divisors, whose sum is σ = 452874240. Its totient is φ = 27648000.

The previous prime is 120155957. The next prime is 120156011. The reversal of 120156000 is 651021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3875985 + ... + 3876015.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^120156000 is an apocalyptic number.

120156000 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 120156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

120156000 is an abundant number, since it is smaller than the sum of its proper divisors (332718240).

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

120156000 is a wasteful number, since it uses less digits than its factorization.

120156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 120156000 is about 10961.5692307260. The cubic root of 120156000 is about 493.4560606927.

The spelling of 120156000 in words is "one hundred twenty million, one hundred fifty-six thousand".