121813956268096 has 189 divisors, whose sum is σ = 253183776798693. Its totient is φ = 58147876577280.

The previous prime is 121813956268093. The next prime is 121813956268127. The reversal of 121813956268096 is 690862659318121.

The square root of 121813956268096 is 11036936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 87559437582400 + 34254518685696 = 9357320^2 + 5852736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121813956268093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 289344313966 + ... + 289344314386.

Almost surely, 2^{121813956268096} is an apocalyptic number.

121813956268096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121813956268096 is the 11036936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121813956268096

121813956268096 is an abundant number, since it is smaller than the sum of its proper divisors (131369820530597).

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

121813956268096 is an frugal number, since it uses more digits than its factorization.

121813956268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 67.

The spelling of 121813956268096 in words is "one hundred twenty-one trillion, eight hundred thirteen billion, nine hundred fifty-six million, two hundred sixty-eight thousand, ninety-six".