114001320 has 256 divisors, whose sum is σ = 391910400. Its totient is φ = 26378240.

The previous prime is 114001313. The next prime is 114001351. The reversal of 114001320 is 23100411.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 114001296 and 114001305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2425537 + ... + 2425583.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^114001320 is an apocalyptic number.

114001320 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 114001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

114001320 is an abundant number, since it is smaller than the sum of its proper divisors (277909080).

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

114001320 is a wasteful number, since it uses less digits than its factorization.

114001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 114001320 is about 10677.1400665159. The cubic root of 114001320 is about 484.8826300464.

Adding to 114001320 its reverse (23100411), we get a palindrome (137101731).

Subtracting from 114001320 its reverse (23100411), we obtain a palindrome (90900909).

It can be divided in two parts, 11400 and 1320, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 114001320 in words is "one hundred fourteen million, one thousand, three hundred twenty".