120092880 has 80 divisors (see below), whose sum is σ = 373351104. Its totient is φ = 31933440.

The previous prime is 120092839. The next prime is 120092881. The reversal of 120092880 is 88290021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120092881) 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, 147675 + ... + 148485.

Almost surely, 2^120092880 is an apocalyptic number.

120092880 is a gapful number since it is divisible by the number (10) 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 120092880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186675552).

120092880 is an abundant number, since it is smaller than the sum of its proper divisors (253258224).

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

120092880 is a wasteful number, since it uses less digits than its factorization.

120092880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 120092880 is about 10958.6897026971. The cubic root of 120092880 is about 493.3696385911.

The spelling of 120092880 in words is "one hundred twenty million, ninety-two thousand, eight hundred eighty".