121116736 has 56 divisors (see below), whose sum is σ = 260832600. Its totient is φ = 55468032.

The previous prime is 121116733. The next prime is 121116739. The reversal of 121116736 is 637611121.

It is an interprime number because it is at equal distance from previous prime (121116733) and next prime (121116739).

It can be written as a sum of positive squares in 4 ways, for example, as 7054336 + 114062400 = 2656^2 + 10680^2 .

It is not an unprimeable number, because it can be changed into a prime (121116733) 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, 123480 + ... + 124456.

It is an arithmetic number, because the mean of its divisors is an integer number (4657725).

Almost surely, 2^121116736 is an apocalyptic number.

121116736 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 121116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130416300).

121116736 is an abundant number, since it is smaller than the sum of its proper divisors (139715864).

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

121116736 is a wasteful number, since it uses less digits than its factorization.

121116736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1141 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The square root of 121116736 is about 11005.3049026367. The cubic root of 121116736 is about 494.7677528327.

Adding to 121116736 its reverse (637611121), we get a palindrome (758727857).

The spelling of 121116736 in words is "one hundred twenty-one million, one hundred sixteen thousand, seven hundred thirty-six".