1200120211200 has 216 divisors, whose sum is σ = 4088411547136. Its totient is φ = 309708288000.

The previous prime is 1200120211193. The next prime is 1200120211219. The reversal of 1200120211200 is 21120210021.

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

It is a congruent number.

It is an unprimeable number.

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, 412966 + ... + 1603365.

Almost surely, 2^{1200120211200} is an apocalyptic number.

1200120211200 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 1200120211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044205773568).

1200120211200 is an abundant number, since it is smaller than the sum of its proper divisors (2888291335936).

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

1200120211200 is a wasteful number, since it uses less digits than its factorization.

1200120211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016391 (or 2016372 counting only the distinct ones).

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

Adding to 1200120211200 its reverse (21120210021), we get a palindrome (1221240421221).

The spelling of 1200120211200 in words is "one trillion, two hundred billion, one hundred twenty million, two hundred eleven thousand, two hundred".