121607456 has 48 divisors (see below), whose sum is σ = 247443840. Its totient is φ = 58786560.

The previous prime is 121607449. The next prime is 121607459. The reversal of 121607456 is 654706121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (121607459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320675 + ... + 321053.

It is an arithmetic number, because the mean of its divisors is an integer number (5155080).

Almost surely, 2^121607456 is an apocalyptic number.

121607456 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 121607456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123721920).

121607456 is an abundant number, since it is smaller than the sum of its proper divisors (125836384).

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

121607456 is a wasteful number, since it uses less digits than its factorization.

121607456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 121607456 is about 11027.5770684226. The cubic root of 121607456 is about 495.4350574354.

The spelling of 121607456 in words is "one hundred twenty-one million, six hundred seven thousand, four hundred fifty-six".