12165296640 has 240 divisors, whose sum is σ = 45241872192. Its totient is φ = 2780553216.

The previous prime is 12165296609. The next prime is 12165296651. The reversal of 12165296640 is 4669256121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12165296592 and 12165296601.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360157 + ... + 392483.

Almost surely, 2^12165296640 is an apocalyptic number.

12165296640 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 12165296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22620936096).

12165296640 is an abundant number, since it is smaller than the sum of its proper divisors (33076575552).

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

12165296640 is an equidigital number, since it uses as much as digits as its factorization.

12165296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32367 (or 32344 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 12165296640 in words is "twelve billion, one hundred sixty-five million, two hundred ninety-six thousand, six hundred forty".