121701924864 has 312 divisors, whose sum is σ = 390842018112. Its totient is φ = 36238786560.

The previous prime is 121701924829. The next prime is 121701924901. The reversal of 121701924864 is 468429107121.

121701924864 is a `hidden beast` number, since 12 + 1 + 70 + 1 + 92 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×121701924864² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3925868529 + ... + 3925868559.

It is an arithmetic number, because the mean of its divisors is an integer number (1252698776).

Almost surely, 2^121701924864 is an apocalyptic number.

121701924864 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121701924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195421009056).

121701924864 is an abundant number, since it is smaller than the sum of its proper divisors (269140093248).

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

121701924864 is an frugal number, since it uses more digits than its factorization.

121701924864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 121701924864 in words is "one hundred twenty-one billion, seven hundred one million, nine hundred twenty-four thousand, eight hundred sixty-four".