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2012112 = 243289157
BaseRepresentation
bin111101011001111010000
310210020002200
413223033100
51003341422
6111043200
723050134
oct7531720
93706080
102012112
111154803
12810500
13555acb
143a53c4
1529b2ac
hex1eb3d0

2012112 has 60 divisors (see below), whose sum is σ = 5730660. Its totient is φ = 658944.

The previous prime is 2012093. The next prime is 2012113. The reversal of 2012112 is 2112102.

2012112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 484416 + 1527696 = 696^2 + 1236^2 .

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 = 2012094 and 2012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012113) 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, 12738 + ... + 12894.

It is an arithmetic number, because the mean of its divisors is an integer number (95511).

22012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865330).

2012112 is an abundant number, since it is smaller than the sum of its proper divisors (3718548).

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

2012112 is a wasteful number, since it uses less digits than its factorization.

2012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

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

The square root of 2012112 is about 1418.4893372881. The cubic root of 2012112 is about 126.2459293528.

Adding to 2012112 its reverse (2112102), we get a palindrome (4124214).

The spelling of 2012112 in words is "two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 157 178 267 314 356 471 534 628 712 801 942 1068 1256 1413 1424 1602 1884 2136 2512 2826 3204 3768 4272 5652 6408 7536 11304 12816 13973 22608 27946 41919 55892 83838 111784 125757 167676 223568 251514 335352 503028 670704 1006056 2012112