120201130112000 has 528 divisors, whose sum is σ = 348994444198608. Its totient is φ = 41192959180800.

The previous prime is 120201130111919. The next prime is 120201130112039. The reversal of 120201130112000 is 211031102021.

120201130112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 39509571920896 + 80691558191104 = 6285664^2 + 8982848^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25922173682 + ... + 25922178318.

Almost surely, 2^{120201130112000} is an apocalyptic number.

120201130112000 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 120201130112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174497222099304).

120201130112000 is an abundant number, since it is smaller than the sum of its proper divisors (228793314086608).

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

120201130112000 is an equidigital number, since it uses as much as digits as its factorization.

120201130112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 120201130112000 its reverse (211031102021), we get a palindrome (120412161214021).

The spelling of 120201130112000 in words is "one hundred twenty trillion, two hundred one billion, one hundred thirty million, one hundred twelve thousand".