120112012221200 has 120 divisors (see below), whose sum is σ = 305552287221192. Its totient is φ = 45217378344960.

The previous prime is 120112012221191. The next prime is 120112012221283. The reversal of 120112012221200 is 2122210211021.

It can be written as a sum of positive squares in 12 ways, for example, as 37867137562384 + 82244874658816 = 6153628^2 + 9068896^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264408662 + ... + 264862538.

Almost surely, 2^{120112012221200} is an apocalyptic number.

120112012221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112012221200 is an abundant number, since it is smaller than the sum of its proper divisors (185440274999992).

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

120112012221200 is a wasteful number, since it uses less digits than its factorization.

120112012221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492829 (or 492818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 120112012221200 its reverse (2122210211021), we get a palindrome (122234222432221).

The spelling of 120112012221200 in words is "one hundred twenty trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, two hundred".