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1229112 = 233243397
BaseRepresentation
bin100101100000100111000
32022110000200
410230010320
5303312422
642202200
713306263
oct4540470
92273020
101229112
1176a4a5
124b3360
133405b1
1423dcda
151942ac
hex12c138

1229112 has 48 divisors (see below), whose sum is σ = 3414840. Its totient is φ = 399168.

The previous prime is 1229093. The next prime is 1229113. The reversal of 1229112 is 2119221.

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

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1229113) 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, 2898 + ... + 3294.

21229112 is an apocalyptic number.

1229112 is a gapful number since it is divisible by the number (12) 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 1229112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707420).

1229112 is an abundant number, since it is smaller than the sum of its proper divisors (2185728).

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

1229112 is a wasteful number, since it uses less digits than its factorization.

1229112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 445 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1229112 is about 1108.6532370403. The cubic root of 1229112 is about 107.1183364839.

1229112 divided by its product of digits (72) gives a palindrome (17071).

The spelling of 1229112 in words is "one million, two hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 397 516 774 794 1032 1191 1548 1588 2382 3096 3176 3573 4764 7146 9528 14292 17071 28584 34142 51213 68284 102426 136568 153639 204852 307278 409704 614556 1229112