2111201211200 has 168 divisors, whose sum is σ = 5211780915000. Its totient is φ = 841737461760.

The previous prime is 2111201211191. The next prime is 2111201211211. The reversal of 2111201211200 is 21121021112.

It can be written as a sum of positive squares in 12 ways, for example, as 678066608704 + 1433134602496 = 823448^2 + 1197136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767987426 + ... + 767990174.

Almost surely, 2^{2111201211200} is an apocalyptic number.

2111201211200 is a gapful number since it is divisible by the number (20) 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 2111201211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605890457500).

2111201211200 is an abundant number, since it is smaller than the sum of its proper divisors (3100579703800).

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

2111201211200 is a wasteful number, since it uses less digits than its factorization.

2111201211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2111201211200 its reverse (21121021112), we get a palindrome (2132322232312).

The spelling of 2111201211200 in words is "two trillion, one hundred eleven billion, two hundred one million, two hundred eleven thousand, two hundred".