121408320 has 112 divisors (see below), whose sum is σ = 420550848. Its totient is φ = 29429760.

The previous prime is 121408303. The next prime is 121408337. The reversal of 121408320 is 23804121.

It is an interprime number because it is at equal distance from previous prime (121408303) and next prime (121408337).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4812 + ... + 16308.

Almost surely, 2^121408320 is an apocalyptic number.

121408320 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 121408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210275424).

121408320 is an abundant number, since it is smaller than the sum of its proper divisors (299142528).

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

121408320 is a wasteful number, since it uses less digits than its factorization.

121408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11528 (or 11518 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 121408320 is about 11018.5443684726. The cubic root of 121408320 is about 495.1644795716.

The spelling of 121408320 in words is "one hundred twenty-one million, four hundred eight thousand, three hundred twenty".