121791516 has 96 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 31257600.

The previous prime is 121791497. The next prime is 121791541. The reversal of 121791516 is 615197121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81496 + ... + 82976.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^121791516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121791516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

121791516 is an abundant number, since it is smaller than the sum of its proper divisors (236733924).

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

121791516 is a wasteful number, since it uses less digits than its factorization.

121791516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1593 counting only the distinct ones).

The product of its digits is 3780, while the sum is 33.

The square root of 121791516 is about 11035.9193545441. The cubic root of 121791516 is about 495.6848880826.

It can be divided in two parts, 12179 and 1516, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 121791516 in words is "one hundred twenty-one million, seven hundred ninety-one thousand, five hundred sixteen".