12711226800 has 120 divisors (see below), whose sum is σ = 41039405056. Its totient is φ = 3362929920.

The previous prime is 12711226799. The next prime is 12711226811. The reversal of 12711226800 is 862211721.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12711226800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110697 + ... + 194103.

Almost surely, 2^12711226800 is an apocalyptic number.

12711226800 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 12711226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20519702528).

12711226800 is an abundant number, since it is smaller than the sum of its proper divisors (28328178256).

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

12711226800 is a wasteful number, since it uses less digits than its factorization.

12711226800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83555 (or 83544 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 12711226800 in words is "twelve billion, seven hundred eleven million, two hundred twenty-six thousand, eight hundred".