121344765696 has 432 divisors, whose sum is σ = 443629105920. Its totient is φ = 30981242880.

The previous prime is 121344765691. The next prime is 121344765709. The reversal of 121344765696 is 696567443121.

It is a happy number.

121344765696 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 4 + 4 + 76 + 569 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121344765691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10461276 + ... + 10472868.

Almost surely, 2^121344765696 is an apocalyptic number.

121344765696 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 121344765696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221814552960).

121344765696 is an abundant number, since it is smaller than the sum of its proper divisors (322284340224).

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

121344765696 is a wasteful number, since it uses less digits than its factorization.

121344765696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11692 (or 11675 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 121344765696 in words is "one hundred twenty-one billion, three hundred forty-four million, seven hundred sixty-five thousand, six hundred ninety-six".