120012001012200 has 768 divisors, whose sum is σ = 411241458862080. Its totient is φ = 28711360000000.

The previous prime is 120012001012193. The next prime is 120012001012223. The reversal of 120012001012200 is 2210100210021.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 191 ways as a sum of consecutive naturals, for example, 127536663730 + ... + 127536664670.

It is an arithmetic number, because the mean of its divisors is an integer number (535470649560).

Almost surely, 2^{120012001012200} is an apocalyptic number.

120012001012200 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 120012001012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205620729431040).

120012001012200 is an abundant number, since it is smaller than the sum of its proper divisors (291229457849880).

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

120012001012200 is a wasteful number, since it uses less digits than its factorization.

120012001012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120012001012200 its reverse (2210100210021), we get a palindrome (122222101222221).

The spelling of 120012001012200 in words is "one hundred twenty trillion, twelve billion, one million, twelve thousand, two hundred".