11214120 has 64 divisors (see below), whose sum is σ = 33981120. Its totient is φ = 2960384.

The previous prime is 11214113. The next prime is 11214121. The reversal of 11214120 is 2141211.

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 = 11214096 and 11214105.

It is not an unprimeable number, because it can be changed into a prime (11214121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13147 + ... + 13973.

It is an arithmetic number, because the mean of its divisors is an integer number (530955).

Almost surely, 2^11214120 is an apocalyptic number.

11214120 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 11214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990560).

11214120 is an abundant number, since it is smaller than the sum of its proper divisors (22767000).

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

11214120 is a wasteful number, since it uses less digits than its factorization.

11214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 950 counting only the distinct ones).

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

The square root of 11214120 is about 3348.7490201566. The cubic root of 11214120 is about 223.8317720739.

Adding to 11214120 its reverse (2141211), we get a palindrome (13355331).

It can be divided in two parts, 1 and 1214120, that added together give a palindrome (1214121).

The spelling of 11214120 in words is "eleven million, two hundred fourteen thousand, one hundred twenty".