221403012320 has 96 divisors (see below), whose sum is σ = 599151168000. Its totient is φ = 75736521216.

The previous prime is 221403012277. The next prime is 221403012329. The reversal of 221403012320 is 23210304122.

221403012320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 221403012292 and 221403012301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221403012329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266531 + ... + 716829.

It is an arithmetic number, because the mean of its divisors is an integer number (6241158000).

Almost surely, 2^221403012320 is an apocalyptic number.

221403012320 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 221403012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299575584000).

221403012320 is an abundant number, since it is smaller than the sum of its proper divisors (377748155680).

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

221403012320 is a wasteful number, since it uses less digits than its factorization.

221403012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450760 (or 450752 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 221403012320 its reverse (23210304122), we get a palindrome (244613316442).

The spelling of 221403012320 in words is "two hundred twenty-one billion, four hundred three million, twelve thousand, three hundred twenty".