2012122222200 has 288 divisors, whose sum is σ = 6936193555200. Its totient is φ = 522541440000.

The previous prime is 2012122222199. The next prime is 2012122222219. The reversal of 2012122222200 is 22222212102.

2012122222200 is a `hidden beast` number, since 201 + 21 + 2 + 222 + 220 + 0 = 666.

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 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, 10999081 + ... + 11180519.

It is an arithmetic number, because the mean of its divisors is an integer number (24084005400).

Almost surely, 2^{2012122222200} is an apocalyptic number.

2012122222200 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 2012122222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468096777600).

2012122222200 is an abundant number, since it is smaller than the sum of its proper divisors (4924071333000).

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

2012122222200 is a wasteful number, since it uses less digits than its factorization.

2012122222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181623 (or 181611 counting only the distinct ones).

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

Adding to 2012122222200 its reverse (22222212102), we get a palindrome (2034344434302).

It can be divided in two parts, 2012122 and 222200, that added together give a palindrome (2234322).

The spelling of 2012122222200 in words is "two trillion, twelve billion, one hundred twenty-two million, two hundred twenty-two thousand, two hundred".