114311012000 has 384 divisors, whose sum is σ = 305690112000. Its totient is φ = 41885184000.

The previous prime is 114311011993. The next prime is 114311012021. The reversal of 114311012000 is 210113411.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424947866 + ... + 424948134.

It is an arithmetic number, because the mean of its divisors is an integer number (796068000).

Almost surely, 2^114311012000 is an apocalyptic number.

114311012000 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 114311012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845056000).

114311012000 is an abundant number, since it is smaller than the sum of its proper divisors (191379100000).

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

114311012000 is a wasteful number, since it uses less digits than its factorization.

114311012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 114311012000 its reverse (210113411), we get a palindrome (114521125411).

The spelling of 114311012000 in words is "one hundred fourteen billion, three hundred eleven million, twelve thousand".