14181120 has 108 divisors (see below), whose sum is σ = 49105056. Its totient is φ = 3778560.

The previous prime is 14181103. The next prime is 14181127. The reversal of 14181120 is 2118141.

It is a super-2 number, since 2×14181120² = 402208328908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14181093 and 14181102.

It is not an unprimeable number, because it can be changed into a prime (14181127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10905 + ... + 12135.

Almost surely, 2^14181120 is an apocalyptic number.

14181120 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 14181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552528).

14181120 is an abundant number, since it is smaller than the sum of its proper divisors (34923936).

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

14181120 is a wasteful number, since it uses less digits than its factorization.

14181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 14181120 is about 3765.7827871506. The cubic root of 14181120 is about 242.0491214631.

Adding to 14181120 its reverse (2118141), we get a palindrome (16299261).

The spelling of 14181120 in words is "fourteen million, one hundred eighty-one thousand, one hundred twenty".