212011222200 has 288 divisors, whose sum is σ = 690949109760. Its totient is φ = 53763494400.

The previous prime is 212011222193. The next prime is 212011222207. The reversal of 212011222200 is 2222110212.

It is an interprime number because it is at equal distance from previous prime (212011222193) and next prime (212011222207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212011222200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011222207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33805065 + ... + 33811335.

Almost surely, 2^212011222200 is an apocalyptic number.

212011222200 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 212011222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345474554880).

212011222200 is an abundant number, since it is smaller than the sum of its proper divisors (478937887560).

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

212011222200 is a wasteful number, since it uses less digits than its factorization.

212011222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6415 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212011222200 its reverse (2222110212), we get a palindrome (214233332412).

The spelling of 212011222200 in words is "two hundred twelve billion, eleven million, two hundred twenty-two thousand, two hundred".