120888800 has 72 divisors (see below), whose sum is σ = 297543456. Its totient is φ = 47959040.

The previous prime is 120888799. The next prime is 120888821. The reversal of 120888800 is 8888021.

It is a super-2 number, since 2×120888800² = 29228203930880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109049 + ... + 110151.

It is an arithmetic number, because the mean of its divisors is an integer number (4132548).

Almost surely, 2^120888800 is an apocalyptic number.

120888800 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 120888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148771728).

120888800 is an abundant number, since it is smaller than the sum of its proper divisors (176654656).

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

120888800 is a wasteful number, since it uses less digits than its factorization.

120888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

The square root of 120888800 is about 10994.9442927193. The cubic root of 120888800 is about 494.4571813783.

The spelling of 120888800 in words is "one hundred twenty million, eight hundred eighty-eight thousand, eight hundred".