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1220112 = 243237229
BaseRepresentation
bin100101001111000010000
32021222200100
410221320100
5303020422
642052400
713241115
oct4517020
92258610
101220112
11763763
124aa100
1333947a
1423a90c
151917ac
hex129e10

1220112 has 60 divisors (see below), whose sum is σ = 3522220. Its totient is φ = 393984.

The previous prime is 1220099. The next prime is 1220147. The reversal of 1220112 is 2110221.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 104976 = 1056^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1220094 and 1220103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5214 + ... + 5442.

21220112 is an apocalyptic number.

1220112 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 1220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761110).

1220112 is an abundant number, since it is smaller than the sum of its proper divisors (2302108).

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

1220112 is a wasteful number, since it uses less digits than its factorization.

1220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1220112 is about 1104.5868005730. The cubic root of 1220112 is about 106.8562427326.

Adding to 1220112 its reverse (2110221), we get a palindrome (3330333).

The spelling of 1220112 in words is "one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 229 296 333 444 458 592 666 687 888 916 1332 1374 1776 1832 2061 2664 2748 3664 4122 5328 5496 8244 8473 10992 16488 16946 25419 32976 33892 50838 67784 76257 101676 135568 152514 203352 305028 406704 610056 1220112