12145702480 has 40 divisors (see below), whose sum is σ = 28518368904. Its totient is φ = 4810176000.

The previous prime is 12145702477. The next prime is 12145702487. The reversal of 12145702480 is 8420754121.

12145702480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1382054976 + 10763647504 = 37176^2 + 103748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145702487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 743511 + ... + 759670.

Almost surely, 2^12145702480 is an apocalyptic number.

12145702480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12145702480 is an abundant number, since it is smaller than the sum of its proper divisors (16372666424).

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

12145702480 is a wasteful number, since it uses less digits than its factorization.

12145702480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503295 (or 1503289 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 12145702480 in words is "twelve billion, one hundred forty-five million, seven hundred two thousand, four hundred eighty".