2212123214224 has 80 divisors (see below), whose sum is σ = 5347083479040. Its totient is φ = 861299556480.

The previous prime is 2212123214177. The next prime is 2212123214237. The reversal of 2212123214224 is 4224123212122.

It is a super-2 number, since 2×2212123214224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2212123214192 and 2212123214201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1286857 + ... + 2465815.

It is an arithmetic number, because the mean of its divisors is an integer number (66838543488).

Almost surely, 2^{2212123214224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212123214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673541739520).

2212123214224 is an abundant number, since it is smaller than the sum of its proper divisors (3134960264816).

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

2212123214224 is a wasteful number, since it uses less digits than its factorization.

2212123214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180508 (or 1180502 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

Adding to 2212123214224 its reverse (4224123212122), we get a palindrome (6436246426346).

The spelling of 2212123214224 in words is "two trillion, two hundred twelve billion, one hundred twenty-three million, two hundred fourteen thousand, two hundred twenty-four".