121465116 has 96 divisors (see below), whose sum is σ = 332398080. Its totient is φ = 38282112.

The previous prime is 121465109. The next prime is 121465147. The reversal of 121465116 is 611564121.

121465116 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 651 + 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 121465116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265560 + ... + 266016.

It is an arithmetic number, because the mean of its divisors is an integer number (3462480).

Almost surely, 2^121465116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121465116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166199040).

121465116 is an abundant number, since it is smaller than the sum of its proper divisors (210932964).

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

121465116 is a wasteful number, since it uses less digits than its factorization.

121465116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 121465116 is about 11021.1213585551. The cubic root of 121465116 is about 495.2416817970.

The spelling of 121465116 in words is "one hundred twenty-one million, four hundred sixty-five thousand, one hundred sixteen".