14001120 has 192 divisors, whose sum is σ = 56125440. Its totient is φ = 3193344.

The previous prime is 14001107. The next prime is 14001121. The reversal of 14001120 is 2110041.

It is a happy number.

14001120 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14001120² = 392062722508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

14001120 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30009 + ... + 30471.

It is an arithmetic number, because the mean of its divisors is an integer number (292320).

Almost surely, 2^14001120 is an apocalyptic number.

14001120 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 14001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28062720).

14001120 is an abundant number, since it is smaller than the sum of its proper divisors (42124320).

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

14001120 is a wasteful number, since it uses less digits than its factorization.

14001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 14001120 is about 3741.8070500762. The cubic root of 14001120 is about 241.0206532922.

Adding to 14001120 its reverse (2110041), we get a palindrome (16111161).

The spelling of 14001120 in words is "fourteen million, one thousand, one hundred twenty".