2122222012200 has 144 divisors (see below), whose sum is σ = 7128417397920. Its totient is φ = 565823560320.

The previous prime is 2122222012189. The next prime is 2122222012219. The reversal of 2122222012200 is 22102222212.

2122222012200 is a `hidden beast` number, since 2 + 1 + 222 + 220 + 1 + 220 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10125669 + ... + 10333131.

Almost surely, 2^{2122222012200} is an apocalyptic number.

2122222012200 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 2122222012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564208698960).

2122222012200 is an abundant number, since it is smaller than the sum of its proper divisors (5006195385720).

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

2122222012200 is a wasteful number, since it uses less digits than its factorization.

2122222012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213168 (or 213156 counting only the distinct ones).

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

Adding to 2122222012200 its reverse (22102222212), we get a palindrome (2144324234412).

It can be divided in two parts, 2122222012 and 200, that added together give a palindrome (2122222212).

The spelling of 2122222012200 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-two million, twelve thousand, two hundred".