121664880 has 120 divisors (see below), whose sum is σ = 419726112. Its totient is φ = 31560192.

The previous prime is 121664867. The next prime is 121664897. The reversal of 121664880 is 88466121.

121664880 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 648 + 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24357 + ... + 28923.

Almost surely, 2^121664880 is an apocalyptic number.

121664880 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 121664880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209863056).

121664880 is an abundant number, since it is smaller than the sum of its proper divisors (298061232).

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

121664880 is a wasteful number, since it uses less digits than its factorization.

121664880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 121664880 is about 11030.1804155689. The cubic root of 121664880 is about 495.5130279447.

The spelling of 121664880 in words is "one hundred twenty-one million, six hundred sixty-four thousand, eight hundred eighty".