12006963504 has 160 divisors (see below), whose sum is σ = 35162035200. Its totient is φ = 3921765120.

The previous prime is 12006963503. The next prime is 12006963509. The reversal of 12006963504 is 40536960021.

It is a happy number.

12006963504 is a `hidden beast` number, since 12 + 0 + 0 + 6 + 9 + 635 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12006963503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10984782 + ... + 10985874.

It is an arithmetic number, because the mean of its divisors is an integer number (219762720).

Almost surely, 2^12006963504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12006963504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581017600).

12006963504 is an abundant number, since it is smaller than the sum of its proper divisors (23155071696).

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

12006963504 is a wasteful number, since it uses less digits than its factorization.

12006963504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12006963504 in words is "twelve billion, six million, nine hundred sixty-three thousand, five hundred four".