120185856 has 308 divisors, whose sum is σ = 429575232. Its totient is φ = 32845824.

The previous prime is 120185837. The next prime is 120185861. The reversal of 120185856 is 658581021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120185856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5225461 + ... + 5225483.

Almost surely, 2^120185856 is an apocalyptic number.

120185856 is a gapful number since it is divisible by the number (16) 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 120185856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214787616).

120185856 is an abundant number, since it is smaller than the sum of its proper divisors (309389376).

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

120185856 is an frugal number, since it uses more digits than its factorization.

120185856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 120185856 is about 10962.9309949484. The cubic root of 120185856 is about 493.4969281319.

The spelling of 120185856 in words is "one hundred twenty million, one hundred eighty-five thousand, eight hundred fifty-six".