220123200 has 252 divisors, whose sum is σ = 795903920. Its totient is φ = 53222400.

The previous prime is 220123199. The next prime is 220123223. The reversal of 220123200 is 2321022.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 35 ways as a sum of consecutive naturals, for example, 580611 + ... + 580989.

Almost surely, 2^220123200 is an apocalyptic number.

220123200 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 220123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397951960).

220123200 is an abundant number, since it is smaller than the sum of its proper divisors (575780720).

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

220123200 is a wasteful number, since it uses less digits than its factorization.

220123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220123200 is about 14836.5494640769. The cubic root of 220123200 is about 603.7937397851.

Adding to 220123200 its reverse (2321022), we get a palindrome (222444222).

The spelling of 220123200 in words is "two hundred twenty million, one hundred twenty-three thousand, two hundred".