114313032242112 has 224 divisors, whose sum is σ = 337879812326400. Its totient is φ = 33817533235200.

The previous prime is 114313032242107. The next prime is 114313032242119. The reversal of 114313032242112 is 211242230313411.

It is a super-2 number, since 2×114313032242112² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114313032242112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114313032242119) 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, 11000412 + ... + 18698532.

Almost surely, 2^{114313032242112} is an apocalyptic number.

114313032242112 is a gapful number since it is divisible by the number (12) 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 114313032242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168939906163200).

114313032242112 is an abundant number, since it is smaller than the sum of its proper divisors (223566780084288).

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

114313032242112 is a wasteful number, since it uses less digits than its factorization.

114313032242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7698315 (or 7698305 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 114313032242112 its reverse (211242230313411), we get a palindrome (325555262555523).

The spelling of 114313032242112 in words is "one hundred fourteen trillion, three hundred thirteen billion, thirty-two million, two hundred forty-two thousand, one hundred twelve".