120200110221200 has 120 divisors (see below), whose sum is σ = 299522145654120. Its totient is φ = 46317408768000.

The previous prime is 120200110221137. The next prime is 120200110221263. The reversal of 120200110221200 is 2122011002021.

It is an interprime number because it is at equal distance from previous prime (120200110221137) and next prime (120200110221263).

It can be written as a sum of positive squares in 12 ways, for example, as 6965313299344 + 113234796921856 = 2639188^2 + 10641184^2 .

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, 38711285 + ... + 41700884.

It is an arithmetic number, because the mean of its divisors is an integer number (2496017880451).

Almost surely, 2^{120200110221200} is an apocalyptic number.

120200110221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200110221200 is an abundant number, since it is smaller than the sum of its proper divisors (179322035432920).

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

120200110221200 is a wasteful number, since it uses less digits than its factorization.

120200110221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80412325 (or 80412314 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120200110221200 its reverse (2122011002021), we get a palindrome (122322121223221).

The spelling of 120200110221200 in words is "one hundred twenty trillion, two hundred billion, one hundred ten million, two hundred twenty-one thousand, two hundred".