121362516 has 144 divisors (see below), whose sum is σ = 356610240. Its totient is φ = 35640000.

The previous prime is 121362511. The next prime is 121362523. The reversal of 121362516 is 615263121.

121362516 is a `hidden beast` number, since 1 + 21 + 3 + 625 + 16 = 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 121362516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121362511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483391 + ... + 483641.

It is an arithmetic number, because the mean of its divisors is an integer number (2476460).

Almost surely, 2^121362516 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 121362516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178305120).

121362516 is an abundant number, since it is smaller than the sum of its proper divisors (235247724).

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

121362516 is a wasteful number, since it uses less digits than its factorization.

121362516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

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

The square root of 121362516 is about 11016.4656764318. The cubic root of 121362516 is about 495.1022011196.

The spelling of 121362516 in words is "one hundred twenty-one million, three hundred sixty-two thousand, five hundred sixteen".