220021123200 has 384 divisors, whose sum is σ = 734963137920. Its totient is φ = 57847480320.

The previous prime is 220021123183. The next prime is 220021123241. The reversal of 220021123200 is 2321120022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220021123200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227529117 + ... + 227530083.

It is an arithmetic number, because the mean of its divisors is an integer number (1913966505).

Almost surely, 2^220021123200 is an apocalyptic number.

220021123200 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 220021123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367481568960).

220021123200 is an abundant number, since it is smaller than the sum of its proper divisors (514942014720).

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

220021123200 is a wasteful number, since it uses less digits than its factorization.

220021123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220021123200 its reverse (2321120022), we get a palindrome (222342243222).

The spelling of 220021123200 in words is "two hundred twenty billion, twenty-one million, one hundred twenty-three thousand, two hundred".