342130233312 has 288 divisors, whose sum is σ = 1124192369664. Its totient is φ = 96676070400.

The previous prime is 342130233299. The next prime is 342130233329. The reversal of 342130233312 is 213332031243.

342130233312 is a `hidden beast` number, since 3 + 4 + 21 + 302 + 3 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×342130233312² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 196512762 + ... + 196514502.

It is an arithmetic number, because the mean of its divisors is an integer number (3903445728).

Almost surely, 2^342130233312 is an apocalyptic number.

342130233312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342130233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562096184832).

342130233312 is an abundant number, since it is smaller than the sum of its proper divisors (782062136352).

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

342130233312 is a wasteful number, since it uses less digits than its factorization.

342130233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 342130233312 its reverse (213332031243), we get a palindrome (555462264555).

The spelling of 342130233312 in words is "three hundred forty-two billion, one hundred thirty million, two hundred thirty-three thousand, three hundred twelve".