12679170000 has 400 divisors, whose sum is σ = 47182396800. Its totient is φ = 2873088000.

The previous prime is 12679169969. The next prime is 12679170001. The reversal of 12679170000 is 7197621.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×12679170000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12679170001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36329826 + ... + 36330174.

It is an arithmetic number, because the mean of its divisors is an integer number (117955992).

Almost surely, 2^12679170000 is an apocalyptic number.

12679170000 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 12679170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23591198400).

12679170000 is an abundant number, since it is smaller than the sum of its proper divisors (34503226800).

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

12679170000 is a wasteful number, since it uses less digits than its factorization.

12679170000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 12679170000 in words is "twelve billion, six hundred seventy-nine million, one hundred seventy thousand".