121296960 has 224 divisors, whose sum is σ = 435254400. Its totient is φ = 31795200.

The previous prime is 121296953. The next prime is 121296977. The reversal of 121296960 is 69692121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872571 + ... + 872709.

It is an arithmetic number, because the mean of its divisors is an integer number (1943100).

Almost surely, 2^121296960 is an apocalyptic number.

121296960 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 121296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217627200).

121296960 is an abundant number, since it is smaller than the sum of its proper divisors (313957440).

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

121296960 is a wasteful number, since it uses less digits than its factorization.

121296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 121296960 is about 11013.4899101057. The cubic root of 121296960 is about 495.0130391423.

The spelling of 121296960 in words is "one hundred twenty-one million, two hundred ninety-six thousand, nine hundred sixty".