121365216 has 120 divisors (see below), whose sum is σ = 407982960. Its totient is φ = 34670592.

The previous prime is 121365197. The next prime is 121365229. The reversal of 121365216 is 612563121.

121365216 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 652 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 121365216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14800 + ... + 21488.

It is an arithmetic number, because the mean of its divisors is an integer number (3399858).

Almost surely, 2^121365216 is an apocalyptic number.

121365216 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 121365216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203991480).

121365216 is an abundant number, since it is smaller than the sum of its proper divisors (286617744).

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

121365216 is an equidigital number, since it uses as much as digits as its factorization.

121365216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 6701 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 121365216 is about 11016.5882195896. The cubic root of 121365216 is about 495.1058726707.

The spelling of 121365216 in words is "one hundred twenty-one million, three hundred sixty-five thousand, two hundred sixteen".