114001243120 has 40 divisors (see below), whose sum is σ = 266808235680. Its totient is φ = 45298502400.

The previous prime is 114001243067. The next prime is 114001243141. The reversal of 114001243120 is 21342100411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4706515 + ... + 4730674.

It is an arithmetic number, because the mean of its divisors is an integer number (6670205892).

Almost surely, 2^114001243120 is an apocalyptic number.

114001243120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114001243120 is an abundant number, since it is smaller than the sum of its proper divisors (152806992560).

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

114001243120 is a wasteful number, since it uses less digits than its factorization.

114001243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437353 (or 9437347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 114001243120 its reverse (21342100411), we get a palindrome (135343343531).

The spelling of 114001243120 in words is "one hundred fourteen billion, one million, two hundred forty-three thousand, one hundred twenty".