12981948400 has 60 divisors (see below), whose sum is σ = 31326747192. Its totient is φ = 5169867520.

The previous prime is 12981948383. The next prime is 12981948403. The reversal of 12981948400 is 484918921.

12981948400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12981948403) 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 11 ways as a sum of consecutive naturals, for example, 19314 + ... + 162286.

Almost surely, 2^12981948400 is an apocalyptic number.

12981948400 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 12981948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663373596).

12981948400 is an abundant number, since it is smaller than the sum of its proper divisors (18344798792).

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

12981948400 is a wasteful number, since it uses less digits than its factorization.

12981948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143218 (or 143207 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 12981948400 in words is "twelve billion, nine hundred eighty-one million, nine hundred forty-eight thousand, four hundred".