34142321130120 has 960 divisors, whose sum is σ = 134158819158000. Its totient is φ = 7520999657472.

The previous prime is 34142321130053. The next prime is 34142321130173. The reversal of 34142321130120 is 2103112324143.

34142321130120 is a `hidden beast` number, since 3 + 4 + 1 + 423 + 2 + 113 + 0 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9347119977636 + 24795201152484 = 3057306^2 + 4979478^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19977951826 + ... + 19977953534.

Almost surely, 2^{34142321130120} is an apocalyptic number.

34142321130120 is a gapful number since it is divisible by the number (30) 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 34142321130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67079409579000).

34142321130120 is an abundant number, since it is smaller than the sum of its proper divisors (100016498027880).

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

34142321130120 is a wasteful number, since it uses less digits than its factorization.

34142321130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2552 counting only the distinct ones).

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

Adding to 34142321130120 its reverse (2103112324143), we get a palindrome (36245433454263).

The spelling of 34142321130120 in words is "thirty-four trillion, one hundred forty-two billion, three hundred twenty-one million, one hundred thirty thousand, one hundred twenty".