221001123303200 has 144 divisors (see below), whose sum is σ = 545723353032480. Its totient is φ = 87384380160000.

The previous prime is 221001123303137. The next prime is 221001123303223. The reversal of 221001123303200 is 2303321100122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273788195 + ... + 274594205.

It is an arithmetic number, because the mean of its divisors is an integer number (3789745507170).

Almost surely, 2^{221001123303200} is an apocalyptic number.

221001123303200 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 221001123303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272861676516240).

221001123303200 is an abundant number, since it is smaller than the sum of its proper divisors (324722229729280).

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

221001123303200 is a wasteful number, since it uses less digits than its factorization.

221001123303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809971 (or 809958 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 221001123303200 its reverse (2303321100122), we get a palindrome (223304444403322).

The spelling of 221001123303200 in words is "two hundred twenty-one trillion, one billion, one hundred twenty-three million, three hundred three thousand, two hundred".