222012000 has 288 divisors, whose sum is σ = 901502784. Its totient is φ = 50688000.

The previous prime is 222011981. The next prime is 222012019. The reversal of 222012000 is 210222.

It is an interprime number because it is at equal distance from previous prime (222011981) and next prime (222012019).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251560 + ... + 252440.

It is an arithmetic number, because the mean of its divisors is an integer number (3130218).

Almost surely, 2^222012000 is an apocalyptic number.

222012000 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 222012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450751392).

222012000 is an abundant number, since it is smaller than the sum of its proper divisors (679490784).

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

222012000 is a wasteful number, since it uses less digits than its factorization.

222012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 898 counting only the distinct ones).

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

The square root of 222012000 is about 14900.0671139428. The cubic root of 222012000 is about 605.5158044526.

Adding to 222012000 its reverse (210222), we get a palindrome (222222222).

The spelling of 222012000 in words is "two hundred twenty-two million, twelve thousand".