212233221000 has 192 divisors, whose sum is σ = 736737234480. Its totient is φ = 55065830400.

The previous prime is 212233220987. The next prime is 212233221019. The reversal of 212233221000 is 122332212.

212233221000 is a `hidden beast` number, since 2 + 122 + 332 + 210 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 93038420484 + 119194800516 = 305022^2 + 345246^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14332 + ... + 651668.

Almost surely, 2^212233221000 is an apocalyptic number.

212233221000 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 212233221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368368617240).

212233221000 is an abundant number, since it is smaller than the sum of its proper divisors (524504013480).

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

212233221000 is a wasteful number, since it uses less digits than its factorization.

212233221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637401 (or 637384 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212233221000 its reverse (122332212), we get a palindrome (212355553212).

The spelling of 212233221000 in words is "two hundred twelve billion, two hundred thirty-three million, two hundred twenty-one thousand".