11222106083244 has 288 divisors, whose sum is σ = 35127379822080. Its totient is φ = 2948774160384.

The previous prime is 11222106083179. The next prime is 11222106083273. The reversal of 11222106083244 is 44238060122211.

11222106083244 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 1 + 0 + 608 + 3 + 2 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11222106083199 and 11222106083208.

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 95 ways as a sum of consecutive naturals, for example, 78408612 + ... + 78551604.

Almost surely, 2^{11222106083244} is an apocalyptic number.

11222106083244 is a gapful number since it is divisible by the number (14) 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 11222106083244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563689911040).

11222106083244 is an abundant number, since it is smaller than the sum of its proper divisors (23905273738836).

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

11222106083244 is a wasteful number, since it uses less digits than its factorization.

11222106083244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143509 (or 143504 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 11222106083244 in words is "eleven trillion, two hundred twenty-two billion, one hundred six million, eighty-three thousand, two hundred forty-four".