121257914319360 has 3840 divisors, whose sum is σ = 555235662643200. Its totient is φ = 24853738291200.

The previous prime is 121257914319331. The next prime is 121257914319379. The reversal of 121257914319360 is 63913419752121.

121257914319360 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 579 + 1 + 4 + 3 + 1 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a junction number, because it is equal to n+sod(n) for n = 121257914319297 and 121257914319306.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 246961128715 + ... + 246961129205.

It is an arithmetic number, because the mean of its divisors is an integer number (144592620480).

Almost surely, 2^{121257914319360} is an apocalyptic number.

121257914319360 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 121257914319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277617831321600).

121257914319360 is an abundant number, since it is smaller than the sum of its proper divisors (433977748323840).

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

121257914319360 is a wasteful number, since it uses less digits than its factorization.

121257914319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 121257914319360 in words is "one hundred twenty-one trillion, two hundred fifty-seven billion, nine hundred fourteen million, three hundred nineteen thousand, three hundred sixty".