212222313000 has 192 divisors, whose sum is σ = 717909566400. Its totient is φ = 56545430400.

The previous prime is 212222312989. The next prime is 212222313011. The reversal of 212222313000 is 313222212.

212222313000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212222312989) and next prime (212222313011).

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

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, 11537811 + ... + 11556189.

It is an arithmetic number, because the mean of its divisors is an integer number (3739112325).

Almost surely, 2^212222313000 is an apocalyptic number.

212222313000 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 212222313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358954783200).

212222313000 is an abundant number, since it is smaller than the sum of its proper divisors (505687253400).

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

212222313000 is a wasteful number, since it uses less digits than its factorization.

212222313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19689 (or 19672 counting only the distinct ones).

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

Adding to 212222313000 its reverse (313222212), we get a palindrome (212535535212).

The spelling of 212222313000 in words is "two hundred twelve billion, two hundred twenty-two million, three hundred thirteen thousand".