222120000 has 210 divisors, whose sum is σ = 796868358. Its totient is φ = 59136000.

The previous prime is 222119987. The next prime is 222120023. The reversal of 222120000 is 21222.

222120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 153958464 + 68161536 = 12408^2 + 8256^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359692 + ... + 360308.

Almost surely, 2^222120000 is an apocalyptic number.

222120000 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 222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398434179).

222120000 is an abundant number, since it is smaller than the sum of its proper divisors (574748358).

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

222120000 is an equidigital number, since it uses as much as digits as its factorization.

222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 222120000 is about 14903.6908180491. The cubic root of 222120000 is about 605.6139749804.

Adding to 222120000 its reverse (21222), we get a palindrome (222141222).

The spelling of 222120000 in words is "two hundred twenty-two million, one hundred twenty thousand".