121080960 has 768 divisors, whose sum is σ = 586051200. Its totient is φ = 23224320.

The previous prime is 121080959. The next prime is 121080961. The reversal of 121080960 is 69080121.

It is an interprime number because it is at equal distance from previous prime (121080959) and next prime (121080961).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121080961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9313914 + ... + 9313926.

Almost surely, 2^121080960 is an apocalyptic number.

121080960 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 121080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

121080960 is an abundant number, since it is smaller than the sum of its proper divisors (464970240).

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

121080960 is a wasteful number, since it uses less digits than its factorization.

121080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 121080960 is about 11003.6793846422. The cubic root of 121080960 is about 494.7190324691.

The spelling of 121080960 in words is "one hundred twenty-one million, eighty thousand, nine hundred sixty".