121992782736 has 480 divisors, whose sum is σ = 378455777280. Its totient is φ = 33732864000.

The previous prime is 121992782719. The next prime is 121992782753. The reversal of 121992782736 is 637287299121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121992782719) and next prime (121992782753).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 368558091 + ... + 368558421.

It is an arithmetic number, because the mean of its divisors is an integer number (788449536).

Almost surely, 2^121992782736 is an apocalyptic number.

121992782736 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 121992782736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189227888640).

121992782736 is an abundant number, since it is smaller than the sum of its proper divisors (256462994544).

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

121992782736 is a wasteful number, since it uses less digits than its factorization.

121992782736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 57.

The spelling of 121992782736 in words is "one hundred twenty-one billion, nine hundred ninety-two million, seven hundred eighty-two thousand, seven hundred thirty-six".