12144314000031 has 32 divisors (see below), whose sum is σ = 16538852160000. Its totient is φ = 7924230972288.

The previous prime is 12144314000023. The next prime is 12144314000041. The reversal of 12144314000031 is 13000041344121.

It is not a de Polignac number, because 12144314000031 - 2³ = 12144314000023 is a prime.

It is a super-2 number, since 2×12144314000031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12144313999965 and 12144314000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144314000041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73670206 + ... + 73834868.

It is an arithmetic number, because the mean of its divisors is an integer number (516839130000).

Almost surely, 2^{12144314000031} is an apocalyptic number.

12144314000031 is a deficient number, since it is larger than the sum of its proper divisors (4394538159969).

12144314000031 is a wasteful number, since it uses less digits than its factorization.

12144314000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166543.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12144314000031 its reverse (13000041344121), we get a palindrome (25144355344152).

The spelling of 12144314000031 in words is "twelve trillion, one hundred forty-four billion, three hundred fourteen million, thirty-one", and thus it is an aban number.