1200211003200 has 504 divisors, whose sum is σ = 4334710574656. Its totient is φ = 290523340800.

The previous prime is 1200211003171. The next prime is 1200211003241. The reversal of 1200211003200 is 23001120021.

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 561632532 + ... + 561634668.

Almost surely, 2^{1200211003200} is an apocalyptic number.

1200211003200 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 1200211003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167355287328).

1200211003200 is an abundant number, since it is smaller than the sum of its proper divisors (3134499571456).

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

1200211003200 is a wasteful number, since it uses less digits than its factorization.

1200211003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1200211003200 its reverse (23001120021), we get a palindrome (1223212123221).

The spelling of 1200211003200 in words is "one trillion, two hundred billion, two hundred eleven million, three thousand, two hundred".