2122243344144 has 720 divisors, whose sum is σ = 7867249213824. Its totient is φ = 527598489600.

The previous prime is 2122243344139. The next prime is 2122243344161. The reversal of 2122243344144 is 4414433422212.

2122243344144 is a `hidden beast` number, since 2 + 12 + 224 + 3 + 3 + 4 + 414 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2122243344099 and 2122243344108.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168653277 + ... + 168665859.

Almost surely, 2^{2122243344144} is an apocalyptic number.

2122243344144 is a gapful number since it is divisible by the number (24) 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 2122243344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933624606912).

2122243344144 is an abundant number, since it is smaller than the sum of its proper divisors (5745005869680).

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

2122243344144 is a wasteful number, since it uses less digits than its factorization.

2122243344144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12716 (or 12700 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 2122243344144 its reverse (4414433422212), we get a palindrome (6536676766356).

The spelling of 2122243344144 in words is "two trillion, one hundred twenty-two billion, two hundred forty-three million, three hundred forty-four thousand, one hundred forty-four".