121628768 has 48 divisors (see below), whose sum is σ = 251753040. Its totient is φ = 57770496.

The previous prime is 121628729. The next prime is 121628783. The reversal of 121628768 is 867826121.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49718 + ... + 52106.

It is an arithmetic number, because the mean of its divisors is an integer number (5244855).

Almost surely, 2^121628768 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 121628768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125876520).

121628768 is an abundant number, since it is smaller than the sum of its proper divisors (130124272).

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

121628768 is a wasteful number, since it uses less digits than its factorization.

121628768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2471 counting only the distinct ones).

The product of its digits is 64512, while the sum is 41.

The square root of 121628768 is about 11028.5433308302. The cubic root of 121628768 is about 495.4639978078.

The spelling of 121628768 in words is "one hundred twenty-one million, six hundred twenty-eight thousand, seven hundred sixty-eight".