12901900800 has 240 divisors, whose sum is σ = 43170272640. Its totient is φ = 3396157440.

The previous prime is 12901900793. The next prime is 12901900801. The reversal of 12901900800 is 800910921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12901900801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3031474 + ... + 3035726.

It is an arithmetic number, because the mean of its divisors is an integer number (179876136).

Almost surely, 2^12901900800 is an apocalyptic number.

12901900800 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 12901900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21585136320).

12901900800 is an abundant number, since it is smaller than the sum of its proper divisors (30268371840).

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

12901900800 is an equidigital number, since it uses as much as digits as its factorization.

12901900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 12901900800 in words is "twelve billion, nine hundred one million, nine hundred thousand, eight hundred".