120745968 has 80 divisors (see below), whose sum is σ = 377475840. Its totient is φ = 32467968.

The previous prime is 120745967. The next prime is 120745979. The reversal of 120745968 is 869547021.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120745967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4858 + ... + 16281.

It is an arithmetic number, because the mean of its divisors is an integer number (4718448).

Almost surely, 2^120745968 is an apocalyptic number.

It is an amenable number.

120745968 is an abundant number, since it is smaller than the sum of its proper divisors (256729872).

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

120745968 is a wasteful number, since it uses less digits than its factorization.

120745968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21174 (or 21168 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 120745968 is about 10988.4470240339. The cubic root of 120745968 is about 494.2623683463.

The spelling of 120745968 in words is "one hundred twenty million, seven hundred forty-five thousand, nine hundred sixty-eight".