121040928 has 72 divisors (see below), whose sum is σ = 345316608. Its totient is φ = 40217472.

The previous prime is 121040921. The next prime is 121040947. The reversal of 121040928 is 829040121.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×121040928² = 29301812502202368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121040921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139825 + ... + 140687.

It is an arithmetic number, because the mean of its divisors is an integer number (4796064).

Almost surely, 2^121040928 is an apocalyptic number.

121040928 is a gapful number since it is divisible by the number (18) 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 121040928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172658304).

121040928 is an abundant number, since it is smaller than the sum of its proper divisors (224275680).

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

121040928 is a wasteful number, since it uses less digits than its factorization.

121040928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 121040928 is about 11001.8602063469. The cubic root of 121040928 is about 494.6645048337.

The spelling of 121040928 in words is "one hundred twenty-one million, forty thousand, nine hundred twenty-eight".