12142000541331 has 96 divisors (see below), whose sum is σ = 18963584640000. Its totient is φ = 7754023686528.

The previous prime is 12142000541317. The next prime is 12142000541351. The reversal of 12142000541331 is 13314500024121.

12142000541331 is a `hidden beast` number, since 1 + 2 + 14 + 200 + 0 + 5 + 413 + 31 = 666.

It is not a de Polignac number, because 12142000541331 - 2²⁶ = 12141933432467 is a prime.

It is a super-2 number, since 2×12142000541331² (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 = 12142000541295 and 12142000541304.

It is not an unprimeable number, because it can be changed into a prime (12142000541351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 964946466 + ... + 964959048.

It is an arithmetic number, because the mean of its divisors is an integer number (197537340000).

Almost surely, 2^{12142000541331} is an apocalyptic number.

12142000541331 is a deficient number, since it is larger than the sum of its proper divisors (6821584098669).

12142000541331 is a wasteful number, since it uses less digits than its factorization.

12142000541331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13695 (or 13683 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12142000541331 its reverse (13314500024121), we get a palindrome (25456500565452).

The spelling of 12142000541331 in words is "twelve trillion, one hundred forty-two billion, five hundred forty-one thousand, three hundred thirty-one".