121974957652320 has 2016 divisors, whose sum is σ = 488865250534752. Its totient is φ = 28638715871232.

The previous prime is 121974957652319. The next prime is 121974957652357. The reversal of 121974957652320 is 23256759479121.

121974957652320 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 7 + 4 + 9 + 576 + 52 + 3 + 2 + 0 = 666.

It is a super-3 number, since 3×121974957652320³ (a number of 43 digits) contains 333 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 (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 59413032414 + ... + 59413034466.

It is an arithmetic number, because the mean of its divisors is an integer number (242492683797).

Almost surely, 2^{121974957652320} is an apocalyptic number.

121974957652320 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 121974957652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244432625267376).

121974957652320 is an abundant number, since it is smaller than the sum of its proper divisors (366890292882432).

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

121974957652320 is a wasteful number, since it uses less digits than its factorization.

121974957652320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 121974957652320 in words is "one hundred twenty-one trillion, nine hundred seventy-four billion, nine hundred fifty-seven million, six hundred fifty-two thousand, three hundred twenty".