12691187712 has 576 divisors, whose sum is σ = 45790617600. Its totient is φ = 3304488960.

The previous prime is 12691187651. The next prime is 12691187713. The reversal of 12691187712 is 21778119621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12691187712² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (84672) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (12691187713) 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, 75995053 + ... + 75995219.

It is an arithmetic number, because the mean of its divisors is an integer number (79497600).

Almost surely, 2^12691187712 is an apocalyptic number.

12691187712 is a gapful number since it is divisible by the number (12) 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 12691187712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22895308800).

12691187712 is an abundant number, since it is smaller than the sum of its proper divisors (33099429888).

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

12691187712 is a wasteful number, since it uses less digits than its factorization.

12691187712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 229 counting only the distinct ones).

The product of its digits is 84672, while the sum is 45.

The spelling of 12691187712 in words is "twelve billion, six hundred ninety-one million, one hundred eighty-seven thousand, seven hundred twelve".