121613716224 has 1728 divisors, whose sum is σ = 513604546560. Its totient is φ = 28217548800.

The previous prime is 121613716181. The next prime is 121613716229. The reversal of 121613716224 is 422617316121.

121613716224 is a `hidden beast` number, since 1 + 2 + 1 + 61 + 371 + 6 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121613716229) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3923023089 + ... + 3923023119.

Almost surely, 2^121613716224 is an apocalyptic number.

121613716224 is a gapful number since it is divisible by the number (14) 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 121613716224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256802273280).

121613716224 is an abundant number, since it is smaller than the sum of its proper divisors (391990830336).

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

121613716224 is an equidigital number, since it uses as much as digits as its factorization.

121613716224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 121613716224 in words is "one hundred twenty-one billion, six hundred thirteen million, seven hundred sixteen thousand, two hundred twenty-four".