114111300000 has 288 divisors, whose sum is σ = 382417023744. Its totient is φ = 29778560000.

The previous prime is 114111299921. The next prime is 114111300001. The reversal of 114111300000 is 3111411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (114111300001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14095954 + ... + 14104046.

It is an arithmetic number, because the mean of its divisors is an integer number (1327836888).

Almost surely, 2^114111300000 is an apocalyptic number.

114111300000 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 114111300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191208511872).

114111300000 is an abundant number, since it is smaller than the sum of its proper divisors (268305723744).

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

114111300000 is an frugal number, since it uses more digits than its factorization.

114111300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8178 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 114111300000 its reverse (3111411), we get a palindrome (114114411411).

The spelling of 114111300000 in words is "one hundred fourteen billion, one hundred eleven million, three hundred thousand".