121257022851072 has 240 divisors, whose sum is σ = 362216318864400. Its totient is φ = 40415582085120.

The previous prime is 121257022851067. The next prime is 121257022851157. The reversal of 121257022851072 is 270158220752121.

121257022851072 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 570 + 2 + 2 + 8 + 5 + 1 + 0 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2630794747 + ... + 2630840837.

It is an arithmetic number, because the mean of its divisors is an integer number (1509234661935).

Almost surely, 2^{121257022851072} is an apocalyptic number.

121257022851072 is a gapful number since it is divisible by the number (12) 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 121257022851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181108159432200).

121257022851072 is an abundant number, since it is smaller than the sum of its proper divisors (240959296013328).

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

121257022851072 is an equidigital number, since it uses as much as digits as its factorization.

121257022851072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61984 (or 61955 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 121257022851072 in words is "one hundred twenty-one trillion, two hundred fifty-seven billion, twenty-two million, eight hundred fifty-one thousand, seventy-two".