120772890 has 64 divisors (see below), whose sum is σ = 368075520. Its totient is φ = 27604800.

The previous prime is 120772889. The next prime is 120772891. The reversal of 120772890 is 98277021.

It is an interprime number because it is at equal distance from previous prime (120772889) and next prime (120772891).

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 not an unprimeable number, because it can be changed into a prime (120772891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30061 + ... + 33840.

It is an arithmetic number, because the mean of its divisors is an integer number (5751180).

Almost surely, 2^120772890 is an apocalyptic number.

120772890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120772890 is an abundant number, since it is smaller than the sum of its proper divisors (247302630).

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

120772890 is a wasteful number, since it uses less digits than its factorization.

120772890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63924 (or 63918 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 120772890 is about 10989.6719696268. The cubic root of 120772890 is about 494.2990998493.

The spelling of 120772890 in words is "one hundred twenty million, seven hundred seventy-two thousand, eight hundred ninety".