120768192 has 112 divisors (see below), whose sum is σ = 362833920. Its totient is φ = 39373056.

The previous prime is 120768173. The next prime is 120768203. The reversal of 120768192 is 291867021.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80473 + ... + 81959.

Almost surely, 2^120768192 is an apocalyptic number.

120768192 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 120768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181416960).

120768192 is an abundant number, since it is smaller than the sum of its proper divisors (242065728).

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

120768192 is a wasteful number, since it uses less digits than its factorization.

120768192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 120768192 is about 10989.4582214047. The cubic root of 120768192 is about 494.2926904438.

The spelling of 120768192 in words is "one hundred twenty million, seven hundred sixty-eight thousand, one hundred ninety-two".