12365161920 has 168 divisors, whose sum is σ = 44106504624. Its totient is φ = 3297355776.

The previous prime is 12365161909. The next prime is 12365161937. The reversal of 12365161920 is 2916156321.

12365161920 is a `hidden beast` number, since 1 + 2 + 36 + 5 + 1 + 619 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1749 + ... + 157268.

It is an arithmetic number, because the mean of its divisors is an integer number (262538718).

Almost surely, 2^12365161920 is an apocalyptic number.

12365161920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12365161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22053252312).

12365161920 is an abundant number, since it is smaller than the sum of its proper divisors (31741342704).

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

12365161920 is an equidigital number, since it uses as much as digits as its factorization.

12365161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159049 (or 159027 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12365161920 in words is "twelve billion, three hundred sixty-five million, one hundred sixty-one thousand, nine hundred twenty".