121609058852736 has 512 divisors, whose sum is σ = 442855463500800. Its totient is φ = 31991898267648.

The previous prime is 121609058852707. The next prime is 121609058852741. The reversal of 121609058852736 is 637258850906121.

121609058852736 is a `hidden beast` number, since 1 + 2 + 16 + 0 + 9 + 0 + 588 + 5 + 2 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124367911 + ... + 125341913.

It is an arithmetic number, because the mean of its divisors is an integer number (864952077150).

Almost surely, 2^{121609058852736} is an apocalyptic number.

121609058852736 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 121609058852736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221427731750400).

121609058852736 is an abundant number, since it is smaller than the sum of its proper divisors (321246404648064).

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

121609058852736 is a wasteful number, since it uses less digits than its factorization.

121609058852736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974443 (or 974425 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 121609058852736 in words is "one hundred twenty-one trillion, six hundred nine billion, fifty-eight million, eight hundred fifty-two thousand, seven hundred thirty-six".