211221212112200 has 192 divisors, whose sum is σ = 513509811840000. Its totient is φ = 80646619299840.

The previous prime is 211221212112199. The next prime is 211221212112263. The reversal of 211221212112200 is 2211212122112.

It is a super-2 number, since 2×211221212112200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 8517315401 + ... + 8517340199.

It is an arithmetic number, because the mean of its divisors is an integer number (2674530270000).

Almost surely, 2^{211221212112200} is an apocalyptic number.

211221212112200 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 211221212112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256754905920000).

211221212112200 is an abundant number, since it is smaller than the sum of its proper divisors (302288599727800).

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

211221212112200 is a wasteful number, since it uses less digits than its factorization.

211221212112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28624 (or 28615 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211221212112200 its reverse (2211212122112), we get a palindrome (213432424234312).

The spelling of 211221212112200 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twelve million, one hundred twelve thousand, two hundred".