22022211011200 has 96 divisors (see below), whose sum is σ = 54410096755260. Its totient is φ = 8807531765760.

The previous prime is 22022211011179. The next prime is 22022211011209. The reversal of 22022211011200 is 211011222022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5276503020096 + 16745707991104 = 2297064^2 + 4092152^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22022211011209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20444502 + ... + 21494698.

Almost surely, 2^{22022211011200} is an apocalyptic number.

22022211011200 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 22022211011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27205048377630).

22022211011200 is an abundant number, since it is smaller than the sum of its proper divisors (32387885744060).

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

22022211011200 is a wasteful number, since it uses less digits than its factorization.

22022211011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056774 (or 1056757 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22022211011200 its reverse (211011222022), we get a palindrome (22233222233222).

The spelling of 22022211011200 in words is "twenty-two trillion, twenty-two billion, two hundred eleven million, eleven thousand, two hundred".