12165933213270 has 128 divisors (see below), whose sum is σ = 32584782988800. Its totient is φ = 3230037565056.

The previous prime is 12165933213229. The next prime is 12165933213271. The reversal of 12165933213270 is 7231233956121.

12165933213270 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 59 + 3 + 321 + 3 + 270 = 666.

It is a super-2 number, since 2×12165933213270² (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 not an unprimeable number, because it can be changed into a prime (12165933213271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97688301 + ... + 97812759.

It is an arithmetic number, because the mean of its divisors is an integer number (254568617100).

Almost surely, 2^{12165933213270} is an apocalyptic number.

12165933213270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12165933213270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16292391494400).

12165933213270 is an abundant number, since it is smaller than the sum of its proper divisors (20418849775530).

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

12165933213270 is a wasteful number, since it uses less digits than its factorization.

12165933213270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126059 (or 126053 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 12165933213270 in words is "twelve trillion, one hundred sixty-five billion, nine hundred thirty-three million, two hundred thirteen thousand, two hundred seventy".