22220222011200 has 1008 divisors, whose sum is σ = 84016076376960. Its totient is φ = 5712491520000.

The previous prime is 22220222011199. The next prime is 22220222011213. The reversal of 22220222011200 is 211022202222.

22220222011200 is a `hidden beast` number, since 22 + 220 + 2 + 220 + 1 + 1 + 200 = 666.

It is a super-3 number, since 3×22220222011200³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12911226340 + ... + 12911228060.

It is an arithmetic number, because the mean of its divisors is an integer number (83349282120).

Almost surely, 2^{22220222011200} is an apocalyptic number.

22220222011200 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 22220222011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42008038188480).

22220222011200 is an abundant number, since it is smaller than the sum of its proper divisors (61795854365760).

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

22220222011200 is a wasteful number, since it uses less digits than its factorization.

22220222011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22220222011200 its reverse (211022202222), we get a palindrome (22431244213422).

The spelling of 22220222011200 in words is "twenty-two trillion, two hundred twenty billion, two hundred twenty-two million, eleven thousand, two hundred".