12712774314240 has 5184 divisors, whose sum is σ = 65832202275840. Its totient is φ = 2302551982080.

The previous prime is 12712774314211. The next prime is 12712774314263. The reversal of 12712774314240 is 4241347721721.

It is a happy number.

12712774314240 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 27 + 74 + 314 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×12712774314240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 41409688167 + ... + 41409688473.

Almost surely, 2^{12712774314240} is an apocalyptic number.

12712774314240 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 12712774314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32916101137920).

12712774314240 is an abundant number, since it is smaller than the sum of its proper divisors (53119427961600).

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

12712774314240 is a wasteful number, since it uses less digits than its factorization.

12712774314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 12712774314240 in words is "twelve trillion, seven hundred twelve billion, seven hundred seventy-four million, three hundred fourteen thousand, two hundred forty".