121982512960 has 672 divisors, whose sum is σ = 389830226688. Its totient is φ = 35878993920.

The previous prime is 121982512933. The next prime is 121982512969. The reversal of 121982512960 is 69215289121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 121982512960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121982512969) 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 95 ways as a sum of consecutive naturals, for example, 384802722 + ... + 384803038.

It is an arithmetic number, because the mean of its divisors is an integer number (580104504).

Almost surely, 2^121982512960 is an apocalyptic number.

121982512960 is a gapful number since it is divisible by the number (10) 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 121982512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194915113344).

121982512960 is an abundant number, since it is smaller than the sum of its proper divisors (267847713728).

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

121982512960 is a wasteful number, since it uses less digits than its factorization.

121982512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 121982512960 in words is "one hundred twenty-one billion, nine hundred eighty-two million, five hundred twelve thousand, nine hundred sixty".