12576995712 has 192 divisors, whose sum is σ = 37892836800. Its totient is φ = 4152052224.

The previous prime is 12576995663. The next prime is 12576995737. The reversal of 12576995712 is 21759967521.

It is a happy number.

12576995712 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 69 + 9 + 571 + 2 = 666.

12576995712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×12576995712² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3326239 + ... + 3330017.

It is an arithmetic number, because the mean of its divisors is an integer number (197358525).

Almost surely, 2^12576995712 is an apocalyptic number.

12576995712 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 12576995712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946418400).

12576995712 is an abundant number, since it is smaller than the sum of its proper divisors (25315841088).

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

12576995712 is an equidigital number, since it uses as much as digits as its factorization.

12576995712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3891 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 54.

The spelling of 12576995712 in words is "twelve billion, five hundred seventy-six million, nine hundred ninety-five thousand, seven hundred twelve".