121948664123520 has 1024 divisors, whose sum is σ = 478766569881600. Its totient is φ = 29147794292736.

The previous prime is 121948664123501. The next prime is 121948664123563. The reversal of 121948664123520 is 25321466849121.

121948664123520 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 48 + 6 + 64 + 12 + 3 + 520 = 666.

It is a super-2 number, since 2×121948664123520² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1340830687 + ... + 1340921633.

It is an arithmetic number, because the mean of its divisors is an integer number (467545478400).

Almost surely, 2^{121948664123520} is an apocalyptic number.

121948664123520 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 121948664123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239383284940800).

121948664123520 is an abundant number, since it is smaller than the sum of its proper divisors (356817905758080).

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

121948664123520 is a wasteful number, since it uses less digits than its factorization.

121948664123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91162 (or 91144 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 121948664123520 in words is "one hundred twenty-one trillion, nine hundred forty-eight billion, six hundred sixty-four million, one hundred twenty-three thousand, five hundred twenty".