120010113300000 has 1152 divisors, whose sum is σ = 493648500473856. Its totient is φ = 24798528000000.

The previous prime is 120010113299939. The next prime is 120010113300013. The reversal of 120010113300000 is 3311010021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4181085649 + ... + 4181114351.

It is an arithmetic number, because the mean of its divisors is an integer number (428514323328).

Almost surely, 2^{120010113300000} is an apocalyptic number.

120010113300000 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 120010113300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246824250236928).

120010113300000 is an abundant number, since it is smaller than the sum of its proper divisors (373638387173856).

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

120010113300000 is a wasteful number, since it uses less digits than its factorization.

120010113300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28940 (or 28912 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 120010113300000 its reverse (3311010021), we get a palindrome (120013424310021).

The spelling of 120010113300000 in words is "one hundred twenty trillion, ten billion, one hundred thirteen million, three hundred thousand".