12102222011200 has 84 divisors (see below), whose sum is σ = 29791705833792. Its totient is φ = 4838828224000.

The previous prime is 12102222011197. The next prime is 12102222011219. The reversal of 12102222011200 is 211022220121.

It is a happy number.

It is a super-3 number, since 3×12102222011200³ (a number of 40 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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2152947 + ... + 5370253.

It is an arithmetic number, because the mean of its divisors is an integer number (354663164688).

Almost surely, 2^{12102222011200} is an apocalyptic number.

12102222011200 is a gapful number since it is divisible by the number (10) 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 12102222011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895852916896).

12102222011200 is an abundant number, since it is smaller than the sum of its proper divisors (17689483822592).

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

12102222011200 is a wasteful number, since it uses less digits than its factorization.

12102222011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219680 (or 3219665 counting only the distinct ones).

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

Adding to 12102222011200 its reverse (211022220121), we get a palindrome (12313244231321).

The spelling of 12102222011200 in words is "twelve trillion, one hundred two billion, two hundred twenty-two million, eleven thousand, two hundred".