114008721120 has 576 divisors, whose sum is σ = 472061955456. Its totient is φ = 24460001280.

The previous prime is 114008721107. The next prime is 114008721139. The reversal of 114008721120 is 21127800411.

114008721120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 89277922 + ... + 89279198.

It is an arithmetic number, because the mean of its divisors is an integer number (819552006).

Almost surely, 2^114008721120 is an apocalyptic number.

114008721120 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 114008721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236030977728).

114008721120 is an abundant number, since it is smaller than the sum of its proper divisors (358053234336).

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

114008721120 is a wasteful number, since it uses less digits than its factorization.

114008721120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 114008721120 in words is "one hundred fourteen billion, eight million, seven hundred twenty-one thousand, one hundred twenty".