121664256 has 216 divisors, whose sum is σ = 390068784. Its totient is φ = 33546240.

The previous prime is 121664237. The next prime is 121664269. The reversal of 121664256 is 652466121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1994466 + ... + 1994526.

It is an arithmetic number, because the mean of its divisors is an integer number (1805874).

Almost surely, 2^121664256 is an apocalyptic number.

121664256 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 121664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195034392).

121664256 is an abundant number, since it is smaller than the sum of its proper divisors (268404528).

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

121664256 is an equidigital number, since it uses as much as digits as its factorization.

121664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 121664256 is about 11030.1521295039. The cubic root of 121664256 is about 495.5121808071.

The spelling of 121664256 in words is "one hundred twenty-one million, six hundred sixty-four thousand, two hundred fifty-six".