3412310132142 has 160 divisors (see below), whose sum is σ = 7889726592000. Its totient is φ = 1101498471360.

The previous prime is 3412310132141. The next prime is 3412310132159. The reversal of 3412310132142 is 2412310132143.

3412310132142 is a `hidden beast` number, since 3 + 412 + 3 + 101 + 3 + 2 + 142 = 666.

3412310132142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412310132141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1289122263 + ... + 1289124909.

It is an arithmetic number, because the mean of its divisors is an integer number (49310791200).

Almost surely, 2^{3412310132142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412310132142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944863296000).

3412310132142 is an abundant number, since it is smaller than the sum of its proper divisors (4477416459858).

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

3412310132142 is a wasteful number, since it uses less digits than its factorization.

3412310132142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3412310132142 its reverse (2412310132143), we get a palindrome (5824620264285).

Subtracting from 3412310132142 its reverse (2412310132143), we obtain a palindrome (999999999999).

The spelling of 3412310132142 in words is "three trillion, four hundred twelve billion, three hundred ten million, one hundred thirty-two thousand, one hundred forty-two".