121116256 has 48 divisors (see below), whose sum is σ = 249274368. Its totient is φ = 57859200.

The previous prime is 121116253. The next prime is 121116283. The reversal of 121116256 is 652611121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 121116256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121116253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81601 + ... + 83071.

It is an arithmetic number, because the mean of its divisors is an integer number (5193216).

Almost surely, 2^121116256 is an apocalyptic number.

121116256 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 121116256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124637184).

121116256 is an abundant number, since it is smaller than the sum of its proper divisors (128158112).

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

121116256 is a wasteful number, since it uses less digits than its factorization.

121116256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1587 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 121116256 is about 11005.2830949504. The cubic root of 121116256 is about 494.7670992240.

Adding to 121116256 its reverse (652611121), we get a palindrome (773727377).

The spelling of 121116256 in words is "one hundred twenty-one million, one hundred sixteen thousand, two hundred fifty-six".