121312529856 has 336 divisors, whose sum is σ = 424880861184. Its totient is φ = 32303259648.

The previous prime is 121312529759. The next prime is 121312529881. The reversal of 121312529856 is 658925213121.

121312529856 is a `hidden beast` number, since 12 + 1 + 31 + 2 + 529 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7051441 + ... + 7068623.

Almost surely, 2^121312529856 is an apocalyptic number.

121312529856 is a gapful number since it is divisible by the number (16) 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 121312529856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212440430592).

121312529856 is an abundant number, since it is smaller than the sum of its proper divisors (303568331328).

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

121312529856 is a wasteful number, since it uses less digits than its factorization.

121312529856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17328 (or 17315 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 121312529856 in words is "one hundred twenty-one billion, three hundred twelve million, five hundred twenty-nine thousand, eight hundred fifty-six".