12611979000 has 192 divisors, whose sum is σ = 42709680000. Its totient is φ = 3356793600.

The previous prime is 12611978987. The next prime is 12611979007. The reversal of 12611979000 is 97911621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12611979007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6470026 + ... + 6471974.

It is an arithmetic number, because the mean of its divisors is an integer number (222446250).

Almost surely, 2^12611979000 is an apocalyptic number.

12611979000 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 12611979000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21354840000).

12611979000 is an abundant number, since it is smaller than the sum of its proper divisors (30097701000).

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

12611979000 is a wasteful number, since it uses less digits than its factorization.

12611979000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 12611979000 in words is "twelve billion, six hundred eleven million, nine hundred seventy-nine thousand".