342243024132312 has 320 divisors, whose sum is σ = 973608037142400. Its totient is φ = 112309210091520.

The previous prime is 342243024132311. The next prime is 342243024132341. The reversal of 342243024132312 is 213231420342243.

342243024132312 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 4 + 3 + 0 + 2 + 413 + 231 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342243024132311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12993761239 + ... + 12993787577.

It is an arithmetic number, because the mean of its divisors is an integer number (3042525116070).

Almost surely, 2^{342243024132312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342243024132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486804018571200).

342243024132312 is an abundant number, since it is smaller than the sum of its proper divisors (631365013010088).

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

342243024132312 is a wasteful number, since it uses less digits than its factorization.

342243024132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27628 (or 27615 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 342243024132312 its reverse (213231420342243), we get a palindrome (555474444474555).

The spelling of 342243024132312 in words is "three hundred forty-two trillion, two hundred forty-three billion, twenty-four million, one hundred thirty-two thousand, three hundred twelve".