121296000 has 384 divisors, whose sum is σ = 484997760. Its totient is φ = 26265600.

The previous prime is 121295971. The next prime is 121296013. The reversal of 121296000 is 692121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6383991 + ... + 6384009.

It is an arithmetic number, because the mean of its divisors is an integer number (1263015).

Almost surely, 2^121296000 is an apocalyptic number.

121296000 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 121296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242498880).

121296000 is an abundant number, since it is smaller than the sum of its proper divisors (363701760).

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

121296000 is an equidigital number, since it uses as much as digits as its factorization.

121296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 121296000 is about 11013.4463271040. The cubic root of 121296000 is about 495.0117332185.

The spelling of 121296000 in words is "one hundred twenty-one million, two hundred ninety-six thousand".