112131414330 has 128 divisors (see below), whose sum is σ = 297064551168. Its totient is φ = 26913503232.

The previous prime is 112131414293. The next prime is 112131414337. The reversal of 112131414330 is 33414131211.

It is a happy number.

It is a super-2 number, since 2×112131414330² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112131414330.

It is not an unprimeable number, because it can be changed into a prime (112131414337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10341672 + ... + 10352508.

It is an arithmetic number, because the mean of its divisors is an integer number (2320816806).

Almost surely, 2^112131414330 is an apocalyptic number.

112131414330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112131414330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148532275584).

112131414330 is an abundant number, since it is smaller than the sum of its proper divisors (184933136838).

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

112131414330 is a wasteful number, since it uses less digits than its factorization.

112131414330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 112131414330 its reverse (33414131211), we get a palindrome (145545545541).

The spelling of 112131414330 in words is "one hundred twelve billion, one hundred thirty-one million, four hundred fourteen thousand, three hundred thirty".