12721993900 has 288 divisors, whose sum is σ = 35837706240. Its totient is φ = 3804192000.

The previous prime is 12721993883. The next prime is 12721993903. The reversal of 12721993900 is 939912721.

12721993900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12721993903) 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 95 ways as a sum of consecutive naturals, for example, 53229981 + ... + 53230219.

It is an arithmetic number, because the mean of its divisors is an integer number (124436480).

Almost surely, 2^12721993900 is an apocalyptic number.

12721993900 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 12721993900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17918853120).

12721993900 is an abundant number, since it is smaller than the sum of its proper divisors (23115712340).

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

12721993900 is a wasteful number, since it uses less digits than its factorization.

12721993900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The spelling of 12721993900 in words is "twelve billion, seven hundred twenty-one million, nine hundred ninety-three thousand, nine hundred".