121952880 has 120 divisors (see below), whose sum is σ = 468086112. Its totient is φ = 27873792.

The previous prime is 121952869. The next prime is 121952911. The reversal of 121952880 is 88259121.

121952880 is a `hidden beast` number, since 121 + 9 + 528 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7059 + ... + 17138.

Almost surely, 2^121952880 is an apocalyptic number.

121952880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121952880 is an abundant number, since it is smaller than the sum of its proper divisors (346133232).

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

121952880 is a wasteful number, since it uses less digits than its factorization.

121952880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24223 (or 24214 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 121952880 is about 11043.2277890117. The cubic root of 121952880 is about 495.9037057255.

The spelling of 121952880 in words is "one hundred twenty-one million, nine hundred fifty-two thousand, eight hundred eighty".