12661479100 has 72 divisors (see below), whose sum is σ = 28005707520. Its totient is φ = 4967497920.

The previous prime is 12661479097. The next prime is 12661479109. The reversal of 12661479100 is 197416621.

It is a self number, because there is not a number n which added to its sum of digits gives 12661479100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12661479109) 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, 1597347 + ... + 1605253.

It is an arithmetic number, because the mean of its divisors is an integer number (388968160).

Almost surely, 2^12661479100 is an apocalyptic number.

12661479100 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 12661479100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14002853760).

12661479100 is an abundant number, since it is smaller than the sum of its proper divisors (15344228420).

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

12661479100 is a wasteful number, since it uses less digits than its factorization.

12661479100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 12661479100 in words is "twelve billion, six hundred sixty-one million, four hundred seventy-nine thousand, one hundred".