2212243111400 has 144 divisors (see below), whose sum is σ = 5984590985100. Its totient is φ = 758308884480.

The previous prime is 2212243111391. The next prime is 2212243111439. The reversal of 2212243111400 is 41113422122.

It can be written as a sum of positive squares in 6 ways, for example, as 128278276 + 2212114833124 = 11326^2 + 1487318^2 .

It is a super-3 number, since 3×2212243111400³ (a number of 38 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 46908632 + ... + 46955768.

Almost surely, 2^{2212243111400} is an apocalyptic number.

2212243111400 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 2212243111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992295492550).

2212243111400 is an abundant number, since it is smaller than the sum of its proper divisors (3772347873700).

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

2212243111400 is a wasteful number, since it uses less digits than its factorization.

2212243111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51956 (or 51940 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2212243111400 its reverse (41113422122), we get a palindrome (2253356533522).

The spelling of 2212243111400 in words is "two trillion, two hundred twelve billion, two hundred forty-three million, one hundred eleven thousand, four hundred".