211212111120200 has 96 divisors (see below), whose sum is σ = 520218072115560. Its totient is φ = 79474843545600.

The previous prime is 211212111120113. The next prime is 211212111120203. The reversal of 211212111120200 is 2021111212112.

It can be written as a sum of positive squares in 12 ways, for example, as 11976458332804 + 199235652787396 = 3460702^2 + 14115086^2 .

It is a super-2 number, since 2×211212111120200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (211212111120203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9034631 + ... + 22451030.

Almost surely, 2^{211212111120200} is an apocalyptic number.

211212111120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212111120200 is an abundant number, since it is smaller than the sum of its proper divisors (309005960995360).

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

211212111120200 is a wasteful number, since it uses less digits than its factorization.

211212111120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31487667 (or 31487658 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211212111120200 its reverse (2021111212112), we get a palindrome (213233222332312).

The spelling of 211212111120200 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred eleven million, one hundred twenty thousand, two hundred".