112123312224 has 384 divisors, whose sum is σ = 375704469504. Its totient is φ = 28672934400.

The previous prime is 112123312211. The next prime is 112123312243. The reversal of 112123312224 is 422213321211.

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 = 112123312194 and 112123312203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59926009 + ... + 59927879.

It is an arithmetic number, because the mean of its divisors is an integer number (978397056).

Almost surely, 2^112123312224 is an apocalyptic number.

112123312224 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 112123312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187852234752).

112123312224 is an abundant number, since it is smaller than the sum of its proper divisors (263581157280).

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

112123312224 is a wasteful number, since it uses less digits than its factorization.

112123312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1961 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 112123312224 its reverse (422213321211), we get a palindrome (534336633435).

The spelling of 112123312224 in words is "one hundred twelve billion, one hundred twenty-three million, three hundred twelve thousand, two hundred twenty-four".