122218000 has 80 divisors (see below), whose sum is σ = 301360176. Its totient is φ = 47923200.

The previous prime is 122217989. The next prime is 122218003. The reversal of 122218000 is 812221.

It can be written as a sum of positive squares in 8 ways, for example, as 13307904 + 108910096 = 3648^2 + 10436^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 (122218003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 105424 + ... + 106576.

Almost surely, 2^122218000 is an apocalyptic number.

122218000 is a gapful number since it is divisible by the number (10) 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 122218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150680088).

122218000 is an abundant number, since it is smaller than the sum of its proper divisors (179142176).

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

122218000 is a wasteful number, since it uses less digits than its factorization.

122218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 122218000 is about 11055.2250090172. The cubic root of 122218000 is about 496.2628029783.

The spelling of 122218000 in words is "one hundred twenty-two million, two hundred eighteen thousand".