114141312 has 160 divisors (see below), whose sum is σ = 346193100. Its totient is φ = 37324800.

The previous prime is 114141311. The next prime is 114141329. The reversal of 114141312 is 213141411.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 16842816 = 9864^2 + 4104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (114141311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1047114 + ... + 1047222.

Almost surely, 2^114141312 is an apocalyptic number.

114141312 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 114141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173096550).

114141312 is an abundant number, since it is smaller than the sum of its proper divisors (232051788).

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

114141312 is a wasteful number, since it uses less digits than its factorization.

114141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 114141312 is about 10683.6937432706. The cubic root of 114141312 is about 485.0810251848.

Adding to 114141312 its reverse (213141411), we get a palindrome (327282723).

Subtracting 114141312 from its reverse (213141411), we obtain a palindrome (99000099).

The spelling of 114141312 in words is "one hundred fourteen million, one hundred forty-one thousand, three hundred twelve".