221442131401204 has 96 divisors (see below), whose sum is σ = 467886058214400. Its totient is φ = 89582547559680.

The previous prime is 221442131401189. The next prime is 221442131401217. The reversal of 221442131401204 is 402104131244122.

It is a super-2 number, since 2×221442131401204² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2523829567 + ... + 2523917305.

It is an arithmetic number, because the mean of its divisors is an integer number (4873813106400).

Almost surely, 2^{221442131401204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221442131401204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233943029107200).

221442131401204 is an abundant number, since it is smaller than the sum of its proper divisors (246443926813196).

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

221442131401204 is a wasteful number, since it uses less digits than its factorization.

221442131401204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104933 (or 104931 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 221442131401204 its reverse (402104131244122), we get a palindrome (623546262645326).

The spelling of 221442131401204 in words is "two hundred twenty-one trillion, four hundred forty-two billion, one hundred thirty-one million, four hundred one thousand, two hundred four".