222011322000 has 640 divisors, whose sum is σ = 810519790080. Its totient is φ = 51906355200.

The previous prime is 222011321989. The next prime is 222011322053. The reversal of 222011322000 is 223110222.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124097106 + ... + 124098894.

It is an arithmetic number, because the mean of its divisors is an integer number (1266437172).

Almost surely, 2^222011322000 is an apocalyptic number.

222011322000 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 222011322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405259895040).

222011322000 is an abundant number, since it is smaller than the sum of its proper divisors (588508468080).

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

222011322000 is a wasteful number, since it uses less digits than its factorization.

222011322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 222011322000 its reverse (223110222), we get a palindrome (222234432222).

The spelling of 222011322000 in words is "two hundred twenty-two billion, eleven million, three hundred twenty-two thousand".