211122122021200 has 120 divisors (see below), whose sum is σ = 547642106083800. Its totient is φ = 77752390010880.

The previous prime is 211122122021197. The next prime is 211122122021267. The reversal of 211122122021200 is 2120221221112.

It can be written as a sum of positive squares in 12 ways, for example, as 151403476470544 + 59718645550656 = 12304612^2 + 7727784^2 .

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, 50162815 + ... + 54208414.

It is an arithmetic number, because the mean of its divisors is an integer number (4563684217365).

Almost surely, 2^{211122122021200} is an apocalyptic number.

211122122021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122122021200 is an abundant number, since it is smaller than the sum of its proper divisors (336519984062600).

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

211122122021200 is a wasteful number, since it uses less digits than its factorization.

211122122021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104371649 (or 104371638 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 211122122021200 its reverse (2120221221112), we get a palindrome (213242343242312).

The spelling of 211122122021200 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty-one thousand, two hundred".