121567932864 has 448 divisors, whose sum is σ = 431590297600. Its totient is φ = 32779385856.

The previous prime is 121567932833. The next prime is 121567932881. The reversal of 121567932864 is 468239765121.

It is a happy number.

121567932864 is a `hidden beast` number, since 1 + 215 + 67 + 93 + 286 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×121567932864² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 121567932864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70555107 + ... + 70556829.

It is an arithmetic number, because the mean of its divisors is an integer number (963371200).

Almost surely, 2^121567932864 is an apocalyptic number.

121567932864 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 121567932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215795148800).

121567932864 is an abundant number, since it is smaller than the sum of its proper divisors (310022364736).

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

121567932864 is a wasteful number, since it uses less digits than its factorization.

121567932864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2061 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 121567932864 in words is "one hundred twenty-one billion, five hundred sixty-seven million, nine hundred thirty-two thousand, eight hundred sixty-four".