211122011200 has 84 divisors (see below), whose sum is σ = 546833866960. Its totient is φ = 80004119040.

The previous prime is 211122011153. The next prime is 211122011203. The reversal of 211122011200 is 2110221112.

It is a super-2 number, since 2×211122011200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211122011203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3442002 + ... + 3502801.

Almost surely, 2^211122011200 is an apocalyptic number.

211122011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122011200 is an abundant number, since it is smaller than the sum of its proper divisors (335711855760).

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

211122011200 is a wasteful number, since it uses less digits than its factorization.

211122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944844 (or 6944829 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211122011200 its reverse (2110221112), we get a palindrome (213232232312).

The spelling of 211122011200 in words is "two hundred eleven billion, one hundred twenty-two million, eleven thousand, two hundred".