12145104410031 has 16 divisors (see below), whose sum is σ = 18209527365120. Its totient is φ = 7999185232440.

The previous prime is 12145104410027. The next prime is 12145104410119. The reversal of 12145104410031 is 13001440154121.

It is a happy number.

12145104410031 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 510 + 44 + 100 + 3 + 1 = 666.

It is not a de Polignac number, because 12145104410031 - 2² = 12145104410027 is a prime.

It is a super-2 number, since 2×12145104410031² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12145104409977 and 12145104410004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145104410011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2709748855 + ... + 2709753336.

It is an arithmetic number, because the mean of its divisors is an integer number (1138095460320).

Almost surely, 2^{12145104410031} is an apocalyptic number.

12145104410031 is a deficient number, since it is larger than the sum of its proper divisors (6064422955089).

12145104410031 is an equidigital number, since it uses as much as digits as its factorization.

12145104410031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419502283 (or 5419502277 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 12145104410031 its reverse (13001440154121), we get a palindrome (25146544564152).

The spelling of 12145104410031 in words is "twelve trillion, one hundred forty-five billion, one hundred four million, four hundred ten thousand, thirty-one".