12001398900 has 144 divisors (see below), whose sum is σ = 36678985728. Its totient is φ = 3025008000.

The previous prime is 12001398853. The next prime is 12001398907. The reversal of 12001398900 is 989310021.

12001398900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) 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 (12001398907) 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 47 ways as a sum of consecutive naturals, for example, 384895 + ... + 414905.

Almost surely, 2^12001398900 is an apocalyptic number.

12001398900 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 12001398900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339492864).

12001398900 is an abundant number, since it is smaller than the sum of its proper divisors (24677586828).

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

12001398900 is a wasteful number, since it uses less digits than its factorization.

12001398900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30102 (or 30095 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 12001398900 in words is "twelve billion, one million, three hundred ninety-eight thousand, nine hundred".