114440301021012 has 192 divisors, whose sum is σ = 289134567321600. Its totient is φ = 35106775626240.

The previous prime is 114440301020999. The next prime is 114440301021029. The reversal of 114440301021012 is 210120103044411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19659901062 + ... + 19659906882.

It is an arithmetic number, because the mean of its divisors is an integer number (1505909204800).

Almost surely, 2^{114440301021012} is an apocalyptic number.

114440301021012 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 114440301021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144567283660800).

114440301021012 is an abundant number, since it is smaller than the sum of its proper divisors (174694266300588).

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

114440301021012 is a wasteful number, since it uses less digits than its factorization.

114440301021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9166 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114440301021012 its reverse (210120103044411), we get a palindrome (324560404065423).

The spelling of 114440301021012 in words is "one hundred fourteen trillion, four hundred forty billion, three hundred one million, twenty-one thousand, twelve".