22220002211200 has 576 divisors, whose sum is σ = 60535360533600. Its totient is φ = 8047877160960.

The previous prime is 22220002211189. The next prime is 22220002211279. The reversal of 22220002211200 is 211220002222.

It is a super-3 number, since 3×22220002211200³ (a number of 41 digits) contains 333 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 8394408277 + ... + 8394410923.

Almost surely, 2^{22220002211200} is an apocalyptic number.

22220002211200 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 22220002211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30267680266800).

22220002211200 is an abundant number, since it is smaller than the sum of its proper divisors (38315358322400).

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

22220002211200 is a wasteful number, since it uses less digits than its factorization.

22220002211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22220002211200 its reverse (211220002222), we get a palindrome (22431222213422).

The spelling of 22220002211200 in words is "twenty-two trillion, two hundred twenty billion, two million, two hundred eleven thousand, two hundred".