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1214112 = 25312647
BaseRepresentation
bin100101000011010100000
32021200110010
410220122200
5302322422
642004520
713214454
oct4503240
92250403
101214112
1175a1a9
124a6740
13336813
14238664
1518eb0c
hex1286a0

1214112 has 24 divisors (see below), whose sum is σ = 3187296. Its totient is φ = 404672.

The previous prime is 1214093. The next prime is 1214113. The reversal of 1214112 is 2114121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1214113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6228 + ... + 6419.

It is an arithmetic number, because the mean of its divisors is an integer number (132804).

21214112 is an apocalyptic number.

1214112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1214112 is an abundant number, since it is smaller than the sum of its proper divisors (1973184).

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

1214112 is a wasteful number, since it uses less digits than its factorization.

1214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12660 (or 12652 counting only the distinct ones).

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

The square root of 1214112 is about 1101.8675056467. The cubic root of 1214112 is about 106.6807967392.

Adding to 1214112 its reverse (2114121), we get a palindrome (3328233).

Subtracting 1214112 from its reverse (2114121), we obtain a palindrome (900009).

It can be divided in two parts, 1214 and 112, that added together give a triangular number (1326 = T51).

The spelling of 1214112 in words is "one million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12647 25294 37941 50588 75882 101176 151764 202352 303528 404704 607056 1214112