121507956057600 has 3840 divisors, whose sum is σ = 549929602252800. Its totient is φ = 25678719221760.

The previous prime is 121507956057557. The next prime is 121507956057637. The reversal of 121507956057600 is 6750659705121.

121507956057600 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 0 + 7 + 9 + 5 + 60 + 576 + 0 + 0 = 666.

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

It is a super-4 number, since 4×121507956057600⁴ (a number of 57 digits) contains 4444 as substring.

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

It is a congruent number.

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, 253670054161 + ... + 253670054639.

It is an arithmetic number, because the mean of its divisors is an integer number (143210833920).

Almost surely, 2^{121507956057600} is an apocalyptic number.

121507956057600 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 121507956057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274964801126400).

121507956057600 is an abundant number, since it is smaller than the sum of its proper divisors (428421646195200).

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

121507956057600 is a wasteful number, since it uses less digits than its factorization.

121507956057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 121507956057600 in words is "one hundred twenty-one trillion, five hundred seven billion, nine hundred fifty-six million, fifty-seven thousand, six hundred".