18122227200 has 1200 divisors, whose sum is σ = 83990231424. Its totient is φ = 3749068800.

The previous prime is 18122227169. The next prime is 18122227213. The reversal of 18122227200 is 272222181.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 79833487 + ... + 79833713.

Almost surely, 2^18122227200 is an apocalyptic number.

18122227200 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 18122227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41995115712).

18122227200 is an abundant number, since it is smaller than the sum of its proper divisors (65868004224).

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

18122227200 is a wasteful number, since it uses less digits than its factorization.

18122227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 18122227200 its reverse (272222181), we get a palindrome (18394449381).

The spelling of 18122227200 in words is "eighteen billion, one hundred twenty-two million, two hundred twenty-seven thousand, two hundred".