12265165530135 has 96 divisors (see below), whose sum is σ = 25372949630400. Its totient is φ = 5605108346880.

The previous prime is 12265165530109. The next prime is 12265165530187. The reversal of 12265165530135 is 53103556156221.

12265165530135 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 51 + 65 + 530 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 12265165530135 - 2⁶ = 12265165530071 is a prime.

It is a super-2 number, since 2×12265165530135² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20133615 + ... + 20733855.

It is an arithmetic number, because the mean of its divisors is an integer number (264301558650).

Almost surely, 2^{12265165530135} is an apocalyptic number.

12265165530135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12265165530135 is an abundant number, since it is smaller than the sum of its proper divisors (13107784100265).

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

12265165530135 is a wasteful number, since it uses less digits than its factorization.

12265165530135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603358 (or 603345 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 12265165530135 in words is "twelve trillion, two hundred sixty-five billion, one hundred sixty-five million, five hundred thirty thousand, one hundred thirty-five".