1112412112224 has 96 divisors (see below), whose sum is σ = 3339848171520. Its totient is φ = 317583286272.

The previous prime is 1112412112223. The next prime is 1112412112277. The reversal of 1112412112224 is 4222112142111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1112412112224² (a number of 25 digits) contains 22 as substring.

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 = 1112412112194 and 1112412112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112412112223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212352 + ... + 1506624.

It is an arithmetic number, because the mean of its divisors is an integer number (34790085120).

Almost surely, 2^{1112412112224} is an apocalyptic number.

1112412112224 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 1112412112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669924085760).

1112412112224 is an abundant number, since it is smaller than the sum of its proper divisors (2227436059296).

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

1112412112224 is a wasteful number, since it uses less digits than its factorization.

1112412112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295572 (or 1295564 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 1112412112224 its reverse (4222112142111), we get a palindrome (5334524254335).

The spelling of 1112412112224 in words is "one trillion, one hundred twelve billion, four hundred twelve million, one hundred twelve thousand, two hundred twenty-four".