121277501856 has 384 divisors, whose sum is σ = 418107432960. Its totient is φ = 33483580416.

The previous prime is 121277501837. The next prime is 121277501881. The reversal of 121277501856 is 658105772121.

121277501856 is a `hidden beast` number, since 1 + 21 + 2 + 77 + 501 + 8 + 56 = 666.

It is a super-3 number, since 3×121277501856³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21473625 + ... + 21479271.

It is an arithmetic number, because the mean of its divisors is an integer number (1088821440).

Almost surely, 2^121277501856 is an apocalyptic number.

121277501856 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 121277501856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209053716480).

121277501856 is an abundant number, since it is smaller than the sum of its proper divisors (296829931104).

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

121277501856 is a wasteful number, since it uses less digits than its factorization.

121277501856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5793 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 121277501856 in words is "one hundred twenty-one billion, two hundred seventy-seven million, five hundred one thousand, eight hundred fifty-six".