121450807296 has 720 divisors, whose sum is σ = 451838580480. Its totient is φ = 31956664320.

The previous prime is 121450807279. The next prime is 121450807327. The reversal of 121450807296 is 692708054121.

121450807296 is a `hidden beast` number, since 121 + 450 + 8 + 0 + 72 + 9 + 6 = 666.

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, 281788201 + ... + 281788631.

It is an arithmetic number, because the mean of its divisors is an integer number (627553584).

Almost surely, 2^121450807296 is an apocalyptic number.

121450807296 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 121450807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225919290240).

121450807296 is an abundant number, since it is smaller than the sum of its proper divisors (330387773184).

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

121450807296 is an equidigital number, since it uses as much as digits as its factorization.

121450807296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 121450807296 in words is "one hundred twenty-one billion, four hundred fifty million, eight hundred seven thousand, two hundred ninety-six".