334130410120 has 96 divisors (see below), whose sum is σ = 838505533320. Its totient is φ = 119116892160.

The previous prime is 334130410093. The next prime is 334130410139. The reversal of 334130410120 is 21014031433.

It can be written as a sum of positive squares in 12 ways, for example, as 12317004324 + 321813405796 = 110982^2 + 567286^2 .

It is a super-2 number, since 2×334130410120² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334130410091 and 334130410100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55300 + ... + 819340.

Almost surely, 2^334130410120 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 334130410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419252766660).

334130410120 is an abundant number, since it is smaller than the sum of its proper divisors (504375123200).

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

334130410120 is a wasteful number, since it uses less digits than its factorization.

334130410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764123 (or 764090 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 334130410120 its reverse (21014031433), we get a palindrome (355144441553).

The spelling of 334130410120 in words is "three hundred thirty-four billion, one hundred thirty million, four hundred ten thousand, one hundred twenty".