121792896 has 160 divisors (see below), whose sum is σ = 384329880. Its totient is φ = 38154240.

The previous prime is 121792883. The next prime is 121792901. The reversal of 121792896 is 698297121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175911 + ... + 176601.

Almost surely, 2^121792896 is an apocalyptic number.

121792896 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 121792896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192164940).

121792896 is an abundant number, since it is smaller than the sum of its proper divisors (262536984).

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

121792896 is an equidigital number, since it uses as much as digits as its factorization.

121792896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 713 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 121792896 is about 11035.9818774770. The cubic root of 121792896 is about 495.6867602506.

The spelling of 121792896 in words is "one hundred twenty-one million, seven hundred ninety-two thousand, eight hundred ninety-six".