121859168256 has 480 divisors, whose sum is σ = 440522802720. Its totient is φ = 32763543552.

The previous prime is 121859168231. The next prime is 121859168257. The reversal of 121859168256 is 652861958121.

121859168256 is a `hidden beast` number, since 1 + 21 + 8 + 591 + 6 + 8 + 25 + 6 = 666.

121859168256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121859168257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19737586 + ... + 19743758.

It is an arithmetic number, because the mean of its divisors is an integer number (917755839).

Almost surely, 2^121859168256 is an apocalyptic number.

121859168256 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 121859168256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220261401360).

121859168256 is an abundant number, since it is smaller than the sum of its proper divisors (318663634464).

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

121859168256 is an equidigital number, since it uses as much as digits as its factorization.

121859168256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6231 (or 6202 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 121859168256 in words is "one hundred twenty-one billion, eight hundred fifty-nine million, one hundred sixty-eight thousand, two hundred fifty-six".