121612932173824 has 416 divisors, whose sum is σ = 306782856979200. Its totient is φ = 47897036587008.

The previous prime is 121612932173819. The next prime is 121612932173857. The reversal of 121612932173824 is 428371239216121.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×121612932173824² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4145927862 + ... + 4145957194.

Almost surely, 2^{121612932173824} is an apocalyptic number.

121612932173824 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 121612932173824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153391428489600).

121612932173824 is an abundant number, since it is smaller than the sum of its proper divisors (185169924805376).

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

121612932173824 is an equidigital number, since it uses as much as digits as its factorization.

121612932173824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29618 (or 29582 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The spelling of 121612932173824 in words is "one hundred twenty-one trillion, six hundred twelve billion, nine hundred thirty-two million, one hundred seventy-three thousand, eight hundred twenty-four".