112314135040 has 80 divisors (see below), whose sum is σ = 271228890240. Its totient is φ = 44602306560.

The previous prime is 112314135029. The next prime is 112314135041. The reversal of 112314135040 is 40531413211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112314135040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112314134996 and 112314135014.

It is not an unprimeable number, because it can be changed into a prime (112314135041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198025 + ... + 513655.

It is an arithmetic number, because the mean of its divisors is an integer number (3390361128).

Almost surely, 2^112314135040 is an apocalyptic number.

112314135040 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 112314135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135614445120).

112314135040 is an abundant number, since it is smaller than the sum of its proper divisors (158914755200).

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

112314135040 is an equidigital number, since it uses as much as digits as its factorization.

112314135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315793 (or 315777 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 112314135040 its reverse (40531413211), we get a palindrome (152845548251).

The spelling of 112314135040 in words is "one hundred twelve billion, three hundred fourteen million, one hundred thirty-five thousand, forty".