22201232240000 has 320 divisors, whose sum is σ = 60397115486400. Its totient is φ = 8059234560000.

The previous prime is 22201232239987. The next prime is 22201232240009. The reversal of 22201232240000 is 4223210222.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201232240009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 516538511 + ... + 516581489.

It is an arithmetic number, because the mean of its divisors is an integer number (188740985895).

Almost surely, 2^{22201232240000} is an apocalyptic number.

22201232240000 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 22201232240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30198557743200).

22201232240000 is an abundant number, since it is smaller than the sum of its proper divisors (38195883246400).

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

22201232240000 is an equidigital number, since it uses as much as digits as its factorization.

22201232240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43611 (or 43584 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22201232240000 its reverse (4223210222), we get a palindrome (22205455450222).

The spelling of 22201232240000 in words is "twenty-two trillion, two hundred one billion, two hundred thirty-two million, two hundred forty thousand".