22100222011200 has 672 divisors, whose sum is σ = 76347948847104. Its totient is φ = 5590215106560.

The previous prime is 22100222011193. The next prime is 22100222011271. The reversal of 22100222011200 is 211022200122.

It is a super-3 number, since 3×22100222011200³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22100222011200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2195308567 + ... + 2195318633.

Almost surely, 2^{22100222011200} is an apocalyptic number.

22100222011200 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 22100222011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38173974423552).

22100222011200 is an abundant number, since it is smaller than the sum of its proper divisors (54247726835904).

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

22100222011200 is a wasteful number, since it uses less digits than its factorization.

22100222011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10439 (or 10424 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22100222011200 its reverse (211022200122), we get a palindrome (22311244211322).

The spelling of 22100222011200 in words is "twenty-two trillion, one hundred billion, two hundred twenty-two million, eleven thousand, two hundred".