120112013200000 has 192 divisors, whose sum is σ = 304731143380440. Its totient is φ = 47138291200000.

The previous prime is 120112013199863. The next prime is 120112013200019. The reversal of 120112013200000 is 2310211021.

It can be written as a sum of positive squares in 12 ways, for example, as 28664716355136 + 91447296844864 = 5353944^2 + 9562808^2 .

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, 18367170 + ... + 24032830.

Almost surely, 2^{120112013200000} is an apocalyptic number.

120112013200000 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 120112013200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152365571690220).

120112013200000 is an abundant number, since it is smaller than the sum of its proper divisors (184619130180440).

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

120112013200000 is an frugal number, since it uses more digits than its factorization.

120112013200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5665753 (or 5665721 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 120112013200000 its reverse (2310211021), we get a palindrome (120114323411021).

The spelling of 120112013200000 in words is "one hundred twenty trillion, one hundred twelve billion, thirteen million, two hundred thousand".