12437712100 has 72 divisors (see below), whose sum is σ = 29718910368. Its totient is φ = 4480492800.

The previous prime is 12437712029. The next prime is 12437712109. The reversal of 12437712100 is 121773421.

12437712100 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 (12437712109) 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 23 ways as a sum of consecutive naturals, for example, 64864 + ... + 170536.

It is an arithmetic number, because the mean of its divisors is an integer number (412762644).

Almost surely, 2^12437712100 is an apocalyptic number.

12437712100 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 12437712100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859455184).

12437712100 is an abundant number, since it is smaller than the sum of its proper divisors (17281198268).

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

12437712100 is a wasteful number, since it uses less digits than its factorization.

12437712100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105805 (or 105798 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 12437712100 in words is "twelve billion, four hundred thirty-seven million, seven hundred twelve thousand, one hundred".