111134212224 has 128 divisors (see below), whose sum is σ = 338618849280. Its totient is φ = 31635256320.

The previous prime is 111134212213. The next prime is 111134212249. The reversal of 111134212224 is 422212431111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 111134212194 and 111134212203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652167 + ... + 804729.

It is an arithmetic number, because the mean of its divisors is an integer number (2645459760).

Almost surely, 2^111134212224 is an apocalyptic number.

111134212224 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 111134212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169309424640).

111134212224 is an abundant number, since it is smaller than the sum of its proper divisors (227484637056).

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

111134212224 is a wasteful number, since it uses less digits than its factorization.

111134212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152858 (or 152846 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 111134212224 its reverse (422212431111), we get a palindrome (533346643335).

The spelling of 111134212224 in words is "one hundred eleven billion, one hundred thirty-four million, two hundred twelve thousand, two hundred twenty-four".