121589293056 has 672 divisors, whose sum is σ = 420627364992. Its totient is φ = 30883184640.

The previous prime is 121589292997. The next prime is 121589293057. The reversal of 121589293056 is 650392985121.

It is a happy number.

121589293056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121589293057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887513020 + ... + 887513156.

Almost surely, 2^121589293056 is an apocalyptic number.

121589293056 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 121589293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210313682496).

121589293056 is an abundant number, since it is smaller than the sum of its proper divisors (299038071936).

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

121589293056 is a wasteful number, since it uses less digits than its factorization.

121589293056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 121589293056 in words is "one hundred twenty-one billion, five hundred eighty-nine million, two hundred ninety-three thousand, fifty-six".