12903144576 has 128 divisors (see below), whose sum is σ = 39666739200. Its totient is φ = 3639886848.

The previous prime is 12903144571. The next prime is 12903144581. The reversal of 12903144576 is 67544130921.

It is an interprime number because it is at equal distance from previous prime (12903144571) and next prime (12903144581).

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

It is a super-2 number, since 2×12903144576² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12903144571) by changing a digit.

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, 181971 + ... + 242733.

It is an arithmetic number, because the mean of its divisors is an integer number (309896400).

Almost surely, 2^12903144576 is an apocalyptic number.

12903144576 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 12903144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19833369600).

12903144576 is an abundant number, since it is smaller than the sum of its proper divisors (26763594624).

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

12903144576 is an equidigital number, since it uses as much as digits as its factorization.

12903144576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60866 (or 60854 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 12903144576 in words is "twelve billion, nine hundred three million, one hundred forty-four thousand, five hundred seventy-six".