112343122221440 has 256 divisors, whose sum is σ = 295885829491200. Its totient is φ = 40447826411520.

The previous prime is 112343122221373. The next prime is 112343122221443. The reversal of 112343122221440 is 44122221343211.

It is a super-2 number, since 2×112343122221440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 112343122221397 and 112343122221406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112343122221443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5089606244 + ... + 5089628316.

It is an arithmetic number, because the mean of its divisors is an integer number (1155804021450).

Almost surely, 2^{112343122221440} is an apocalyptic number.

112343122221440 is a gapful number since it is divisible by the number (10) 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 112343122221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147942914745600).

112343122221440 is an abundant number, since it is smaller than the sum of its proper divisors (183542707269760).

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

112343122221440 is a wasteful number, since it uses less digits than its factorization.

112343122221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29225 (or 29213 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 112343122221440 its reverse (44122221343211), we get a palindrome (156465343564651).

The spelling of 112343122221440 in words is "one hundred twelve trillion, three hundred forty-three billion, one hundred twenty-two million, two hundred twenty-one thousand, four hundred forty".