1212201211200 has 1344 divisors, whose sum is σ = 4974017642496. Its totient is φ = 252149760000.

The previous prime is 1212201211181. The next prime is 1212201211223. The reversal of 1212201211200 is 21121022121.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1212201211200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4473067065 + ... + 4473067335.

It is an arithmetic number, because the mean of its divisors is an integer number (3700905984).

Almost surely, 2^{1212201211200} is an apocalyptic number.

1212201211200 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 1212201211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487008821248).

1212201211200 is an abundant number, since it is smaller than the sum of its proper divisors (3761816431296).

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

1212201211200 is a wasteful number, since it uses less digits than its factorization.

1212201211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1212201211200 its reverse (21121022121), we get a palindrome (1233322233321).

The spelling of 1212201211200 in words is "one trillion, two hundred twelve billion, two hundred one million, two hundred eleven thousand, two hundred".