121070976 has 128 divisors (see below), whose sum is σ = 351859200. Its totient is φ = 36661248.

The previous prime is 121070959. The next prime is 121070981. The reversal of 121070976 is 679070121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394215 + ... + 394521.

It is an arithmetic number, because the mean of its divisors is an integer number (2748900).

Almost surely, 2^121070976 is an apocalyptic number.

121070976 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 121070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175929600).

121070976 is an abundant number, since it is smaller than the sum of its proper divisors (230788224).

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

121070976 is a wasteful number, since it uses less digits than its factorization.

121070976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 121070976 is about 11003.2257088547. The cubic root of 121070976 is about 494.7054343757.

The spelling of 121070976 in words is "one hundred twenty-one million, seventy thousand, nine hundred seventy-six".