221222122000 has 240 divisors, whose sum is σ = 622562247216. Its totient is φ = 75710976000.

The previous prime is 221222121997. The next prime is 221222122007. The reversal of 221222122000 is 221222122.

It can be written as a sum of positive squares in 8 ways, for example, as 27195967744 + 194026154256 = 164912^2 + 440484^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221222122007) by changing a digit.

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, 4087114 + ... + 4140886.

Almost surely, 2^221222122000 is an apocalyptic number.

221222122000 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 221222122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311281123608).

221222122000 is an abundant number, since it is smaller than the sum of its proper divisors (401340125216).

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

221222122000 is a wasteful number, since it uses less digits than its factorization.

221222122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53835 (or 53808 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221222122000 its reverse (221222122), we get a palindrome (221443344122).

221222122000 divided by its reverse (221222122) gives a cube (1000 = 10³).

The spelling of 221222122000 in words is "two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand".