121913793144 has 256 divisors, whose sum is σ = 405365990400. Its totient is φ = 33457881600.

The previous prime is 121913793119. The next prime is 121913793193. The reversal of 121913793144 is 441397319121.

121913793144 is a `hidden beast` number, since 121 + 91 + 379 + 31 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121913793144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1599829 + ... + 1674299.

It is an arithmetic number, because the mean of its divisors is an integer number (1583460900).

Almost surely, 2^121913793144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121913793144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202682995200).

121913793144 is an abundant number, since it is smaller than the sum of its proper divisors (283452197256).

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

121913793144 is a wasteful number, since it uses less digits than its factorization.

121913793144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74563 (or 74553 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 121913793144 in words is "one hundred twenty-one billion, nine hundred thirteen million, seven hundred ninety-three thousand, one hundred forty-four".