12765271233312 has 336 divisors, whose sum is σ = 40597475515128. Its totient is φ = 3925956833280.

The previous prime is 12765271233307. The next prime is 12765271233317. The reversal of 12765271233312 is 21333217256721.

12765271233312 is a `hidden beast` number, since 1 + 2 + 7 + 65 + 271 + 2 + 3 + 3 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (12765271233307) and next prime (12765271233317).

It can be written as a sum of positive squares in 4 ways, for example, as 12474487141776 + 290784091536 = 3531924^2 + 539244^2 .

It is not an unprimeable number, because it can be changed into a prime (12765271233317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 749963362 + ... + 749980382.

Almost surely, 2^{12765271233312} is an apocalyptic number.

12765271233312 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 12765271233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20298737757564).

12765271233312 is an abundant number, since it is smaller than the sum of its proper divisors (27832204281816).

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

12765271233312 is a wasteful number, since it uses less digits than its factorization.

12765271233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19535 (or 19512 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 12765271233312 in words is "twelve trillion, seven hundred sixty-five billion, two hundred seventy-one million, two hundred thirty-three thousand, three hundred twelve".