120167712 has 240 divisors, whose sum is σ = 417130560. Its totient is φ = 33219072.

The previous prime is 120167681. The next prime is 120167717. The reversal of 120167712 is 217761021.

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

It is not an unprimeable number, because it can be changed into a prime (120167717) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671239 + ... + 671417.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 2^120167712 is an apocalyptic number.

120167712 is a gapful number since it is divisible by the number (12) 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 120167712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208565280).

120167712 is an abundant number, since it is smaller than the sum of its proper divisors (296962848).

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

120167712 is a wasteful number, since it uses less digits than its factorization.

120167712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 120167712 is about 10962.1034477877. The cubic root of 120167712 is about 493.4720930995.

The spelling of 120167712 in words is "one hundred twenty million, one hundred sixty-seven thousand, seven hundred twelve".