121416513165 has 128 divisors (see below), whose sum is σ = 226688716800. Its totient is φ = 61585920000.

The previous prime is 121416513151. The next prime is 121416513203. The reversal of 121416513165 is 561315614121.

121416513165 is a `hidden beast` number, since 121 + 4 + 1 + 6 + 513 + 16 + 5 = 666.

It is not a de Polignac number, because 121416513165 - 2¹² = 121416509069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67415265 + ... + 67417065.

It is an arithmetic number, because the mean of its divisors is an integer number (1771005600).

Almost surely, 2^121416513165 is an apocalyptic number.

121416513165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121416513165 is a deficient number, since it is larger than the sum of its proper divisors (105272203635).

121416513165 is a wasteful number, since it uses less digits than its factorization.

121416513165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 121416513165 in words is "one hundred twenty-one billion, four hundred sixteen million, five hundred thirteen thousand, one hundred sixty-five".