121913937792 has 192 divisors, whose sum is σ = 358522819200. Its totient is φ = 39755363328.

The previous prime is 121913937731. The next prime is 121913937797. The reversal of 121913937792 is 297739319121.

121913937792 is a `hidden beast` number, since 12 + 1 + 91 + 393 + 77 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121913937797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9842259 + ... + 9854637.

It is an arithmetic number, because the mean of its divisors is an integer number (1867306350).

Almost surely, 2^121913937792 is an apocalyptic number.

121913937792 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 121913937792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179261409600).

121913937792 is an abundant number, since it is smaller than the sum of its proper divisors (236608881408).

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

121913937792 is a wasteful number, since it uses less digits than its factorization.

121913937792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12585 (or 12570 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The spelling of 121913937792 in words is "one hundred twenty-one billion, nine hundred thirteen million, nine hundred thirty-seven thousand, seven hundred ninety-two".