22000220400 has 120 divisors (see below), whose sum is σ = 70843751424. Its totient is φ = 5835948800.

The previous prime is 22000220393. The next prime is 22000220443. The reversal of 22000220400 is 402200022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 181207 + ... + 277193.

Almost surely, 2^22000220400 is an apocalyptic number.

22000220400 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 22000220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35421875712).

22000220400 is an abundant number, since it is smaller than the sum of its proper divisors (48843531024).

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

22000220400 is a wasteful number, since it uses less digits than its factorization.

22000220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96199 (or 96188 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22000220400 its reverse (402200022), we get a palindrome (22402420422).

The spelling of 22000220400 in words is "twenty-two billion, two hundred twenty thousand, four hundred".