120211112121200 has 120 divisors (see below), whose sum is σ = 303663871872480. Its totient is φ = 45665272396800.

The previous prime is 120211112121073. The next prime is 120211112121209. The reversal of 120211112121200 is 2121211112021.

It is a super-2 number, since 2×120211112121200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211112121209) by changing a digit.

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, 84235244 + ... + 85650443.

It is an arithmetic number, because the mean of its divisors is an integer number (2530532265604).

Almost surely, 2^{120211112121200} is an apocalyptic number.

120211112121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120211112121200 is an abundant number, since it is smaller than the sum of its proper divisors (183452759751280).

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

120211112121200 is a wasteful number, since it uses less digits than its factorization.

120211112121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169885795 (or 169885784 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 120211112121200 its reverse (2121211112021), we get a palindrome (122332323233221).

The spelling of 120211112121200 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty-one thousand, two hundred".