14211120 has 160 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 2949120.

The previous prime is 14211103. The next prime is 14211137. The reversal of 14211120 is 2111241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14211103) and next prime (14211137).

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 = 14211096 and 14211105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18096 + ... + 18864.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 2^14211120 is an apocalyptic number.

14211120 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 14211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

14211120 is an abundant number, since it is smaller than the sum of its proper divisors (40785360).

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

14211120 is a wasteful number, since it uses less digits than its factorization.

14211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 14211120 is about 3769.7639183376. The cubic root of 14211120 is about 242.2196853098.

Adding to 14211120 its reverse (2111241), we get a palindrome (16322361).

The spelling of 14211120 in words is "fourteen million, two hundred eleven thousand, one hundred twenty".