12774473421600 has 288 divisors, whose sum is σ = 47748416405760. Its totient is φ = 2933850240000.

The previous prime is 12774473421599. The next prime is 12774473421601. The reversal of 12774473421600 is 612437447721.

12774473421600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12774473421599) and next prime (12774473421601).

It is a super-2 number, since 2×12774473421600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12774473421600.

It is not an unprimeable number, because it can be changed into a prime (12774473421601) 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, 12232126 + ... + 13235325.

It is an arithmetic number, because the mean of its divisors is an integer number (165793112520).

Almost surely, 2^{12774473421600} is an apocalyptic number.

12774473421600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12774473421600 is an abundant number, since it is smaller than the sum of its proper divisors (34973942984160).

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

12774473421600 is a wasteful number, since it uses less digits than its factorization.

12774473421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25467504 (or 25467491 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

It can be divided in two parts, 12774 and 473421600, that added together give a palindrome (473434374).

The spelling of 12774473421600 in words is "twelve trillion, seven hundred seventy-four billion, four hundred seventy-three million, four hundred twenty-one thousand, six hundred".