12490145920 has 128 divisors (see below), whose sum is σ = 34166246400. Its totient is φ = 4277145600.

The previous prime is 12490145917. The next prime is 12490145971. The reversal of 12490145920 is 2954109421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 12490145920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6400945 + ... + 6402895.

It is an arithmetic number, because the mean of its divisors is an integer number (266923800).

Almost surely, 2^12490145920 is an apocalyptic number.

12490145920 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 12490145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17083123200).

12490145920 is an abundant number, since it is smaller than the sum of its proper divisors (21676100480).

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

12490145920 is a wasteful number, since it uses less digits than its factorization.

12490145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 12490145920 in words is "twelve billion, four hundred ninety million, one hundred forty-five thousand, nine hundred twenty".