121916880 has 80 divisors (see below), whose sum is σ = 419943360. Its totient is φ = 32510592.

The previous prime is 121916867. The next prime is 121916891. The reversal of 121916880 is 88619121.

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 (36).

It is a congruent number.

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, 26062 + ... + 30381.

It is an arithmetic number, because the mean of its divisors is an integer number (5249292).

Almost surely, 2^121916880 is an apocalyptic number.

121916880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121916880 is an abundant number, since it is smaller than the sum of its proper divisors (298026480).

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

121916880 is a wasteful number, since it uses less digits than its factorization.

121916880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56465 (or 56453 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 121916880 is about 11041.5977104765. The cubic root of 121916880 is about 495.8549046630.

The spelling of 121916880 in words is "one hundred twenty-one million, nine hundred sixteen thousand, eight hundred eighty".