120112133203200 has 216 divisors, whose sum is σ = 396693862273408. Its totient is φ = 32005758320640.

The previous prime is 120112133203189. The next prime is 120112133203201. The reversal of 120112133203200 is 2302331211021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112133203201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23121264 + ... + 27835536.

Almost surely, 2^{120112133203200} is an apocalyptic number.

120112133203200 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 120112133203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198346931136704).

120112133203200 is an abundant number, since it is smaller than the sum of its proper divisors (276581729070208).

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

120112133203200 is a wasteful number, since it uses less digits than its factorization.

120112133203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715629 (or 4715610 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 120112133203200 its reverse (2302331211021), we get a palindrome (122414464414221).

The spelling of 120112133203200 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred thirty-three million, two hundred three thousand, two hundred".