12002570496 has 288 divisors, whose sum is σ = 40736102400. Its totient is φ = 3414804480.

The previous prime is 12002570479. The next prime is 12002570497. The reversal of 12002570496 is 69407520021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12002570496² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12002570496.

It is not an unprimeable number, because it can be changed into a prime (12002570497) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17369511 + ... + 17370201.

It is an arithmetic number, because the mean of its divisors is an integer number (141444800).

Almost surely, 2^12002570496 is an apocalyptic number.

12002570496 is a gapful number since it is divisible by the number (16) 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 12002570496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20368051200).

12002570496 is an abundant number, since it is smaller than the sum of its proper divisors (28733531904).

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

12002570496 is an equidigital number, since it uses as much as digits as its factorization.

12002570496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12002570496 in words is "twelve billion, two million, five hundred seventy thousand, four hundred ninety-six".