12811294080 has 192 divisors, whose sum is σ = 47642278320. Its totient is φ = 3153530880.

The previous prime is 12811294063. The next prime is 12811294087. The reversal of 12811294080 is 8049211821.

It is a happy number.

12811294080 is a `hidden beast` number, since 128 + 1 + 129 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (12811294087) 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, 10666 + ... + 160425.

Almost surely, 2^12811294080 is an apocalyptic number.

12811294080 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 12811294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23821139160).

12811294080 is an abundant number, since it is smaller than the sum of its proper divisors (34830984240).

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

12811294080 is a wasteful number, since it uses less digits than its factorization.

12811294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171129 (or 171114 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 12811294080 in words is "twelve billion, eight hundred eleven million, two hundred ninety-four thousand, eighty".