13074010127200 has 72 divisors (see below), whose sum is σ = 34818466084920. Its totient is φ = 4754185497600.

The previous prime is 13074010127179. The next prime is 13074010127207. The reversal of 13074010127200 is 272101047031.

It is a super-2 number, since 2×13074010127200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13074010127207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742832685 + ... + 742850284.

It is an arithmetic number, because the mean of its divisors is an integer number (483589806735).

Almost surely, 2^{13074010127200} is an apocalyptic number.

13074010127200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13074010127200 is an abundant number, since it is smaller than the sum of its proper divisors (21744455957720).

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

13074010127200 is a wasteful number, since it uses less digits than its factorization.

13074010127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485683000 (or 1485682987 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 13074010127200 in words is "thirteen trillion, seventy-four billion, ten million, one hundred twenty-seven thousand, two hundred".