212000222100 has 288 divisors, whose sum is σ = 662817326976. Its totient is φ = 52125696000.

The previous prime is 212000222059. The next prime is 212000222101. The reversal of 212000222100 is 1222000212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000222101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49962579 + ... + 49966821.

It is an arithmetic number, because the mean of its divisors is an integer number (2301449052).

Almost surely, 2^212000222100 is an apocalyptic number.

212000222100 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 212000222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331408663488).

212000222100 is an abundant number, since it is smaller than the sum of its proper divisors (450817104876).

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

212000222100 is a wasteful number, since it uses less digits than its factorization.

212000222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212000222100 its reverse (1222000212), we get a palindrome (213222222312).

The spelling of 212000222100 in words is "two hundred twelve billion, two hundred twenty-two thousand, one hundred".