12096512640 has 384 divisors, whose sum is σ = 44423121600. Its totient is φ = 3024470016.

The previous prime is 12096512633. The next prime is 12096512641. The reversal of 12096512640 is 4621569021.

12096512640 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 6 + 5 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 12096512595 and 12096512604.

It is not an unprimeable number, because it can be changed into a prime (12096512641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11709564 + ... + 11710596.

Almost surely, 2^12096512640 is an apocalyptic number.

12096512640 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 12096512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22211560800).

12096512640 is an abundant number, since it is smaller than the sum of its proper divisors (32326608960).

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

12096512640 is a wasteful number, since it uses less digits than its factorization.

12096512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12096512640 in words is "twelve billion, ninety-six million, five hundred twelve thousand, six hundred forty".