121684864 has 64 divisors (see below), whose sum is σ = 281324160. Its totient is φ = 51346944.

The previous prime is 121684859. The next prime is 121684903. The reversal of 121684864 is 468486121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×121684864² = 29614412253396992, 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 7 ways as a sum of consecutive naturals, for example, 59019 + ... + 61045.

It is an arithmetic number, because the mean of its divisors is an integer number (4395690).

Almost surely, 2^121684864 is an apocalyptic number.

121684864 is a gapful number since it is divisible by the number (14) 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 121684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140662080).

121684864 is an abundant number, since it is smaller than the sum of its proper divisors (159639296).

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

121684864 is an equidigital number, since it uses as much as digits as its factorization.

121684864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2103 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 121684864 is about 11031.0862565751. The cubic root of 121684864 is about 495.5401565355.

The spelling of 121684864 in words is "one hundred twenty-one million, six hundred eighty-four thousand, eight hundred sixty-four".