12413144144412 has 144 divisors (see below), whose sum is σ = 34461691031040. Its totient is φ = 3736125648000.

The previous prime is 12413144144393. The next prime is 12413144144413. The reversal of 12413144144412 is 21444144131421.

12413144144412 is a `hidden beast` number, since 1 + 2 + 4 + 131 + 441 + 44 + 41 + 2 = 666.

It is a super-2 number, since 2×12413144144412² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413144144413) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 766756014 + ... + 766772202.

Almost surely, 2^{12413144144412} is an apocalyptic number.

12413144144412 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 12413144144412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230845515520).

12413144144412 is an abundant number, since it is smaller than the sum of its proper divisors (22048546886628).

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

12413144144412 is a wasteful number, since it uses less digits than its factorization.

12413144144412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29184 (or 29179 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 12413144144412 its reverse (21444144131421), we get a palindrome (33857288275833).

The spelling of 12413144144412 in words is "twelve trillion, four hundred thirteen billion, one hundred forty-four million, one hundred forty-four thousand, four hundred twelve".