120130000000000 has 484 divisors, whose sum is σ = 308549261259036. Its totient is φ = 46720000000000.

The previous prime is 120129999999991. The next prime is 120130000000027. The reversal of 120130000000000 is 31021.

It can be written as a sum of positive squares in 22 ways, for example, as 51747420570624 + 68382579429376 = 7193568^2 + 8269376^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 409999999854 + ... + 410000000146.

Almost surely, 2^{120130000000000} is an apocalyptic number.

120130000000000 is a gapful number since it is divisible by the number (10) 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 120130000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154274630629518).

120130000000000 is an abundant number, since it is smaller than the sum of its proper divisors (188419261259036).

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

120130000000000 is an frugal number, since it uses more digits than its factorization.

120130000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 120130000000000 its reverse (31021), we get a palindrome (120130000031021).

The spelling of 120130000000000 in words is "one hundred twenty trillion, one hundred thirty billion", and thus it is an aban number.