114030120320 has 128 divisors (see below), whose sum is σ = 288398880000. Its totient is φ = 42993358848.

The previous prime is 114030120319. The next prime is 114030120353. The reversal of 114030120320 is 23021030411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2396279 + ... + 2443401.

It is an arithmetic number, because the mean of its divisors is an integer number (2253116250).

Almost surely, 2^114030120320 is an apocalyptic number.

114030120320 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 114030120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144199440000).

114030120320 is an abundant number, since it is smaller than the sum of its proper divisors (174368759680).

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

114030120320 is a wasteful number, since it uses less digits than its factorization.

114030120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47360 (or 47348 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 114030120320 its reverse (23021030411), we get a palindrome (137051150731).

The spelling of 114030120320 in words is "one hundred fourteen billion, thirty million, one hundred twenty thousand, three hundred twenty".