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2112012 = 2232717229
BaseRepresentation
bin1000000011101000001100
310222022010200
420003220030
51020041022
6113133500
723644320
oct10035014
93868120
102112012
111212871
1285a290
1358c416
143cd980
152babac
hex203a0c

2112012 has 108 divisors (see below), whose sum is σ = 6704880. Its totient is φ = 548352.

The previous prime is 2112007. The next prime is 2112013. The reversal of 2112012 is 2102112.

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 = 2111985 and 2112003.

It is not an unprimeable number, because it can be changed into a prime (2112013) 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 35 ways as a sum of consecutive naturals, for example, 72814 + ... + 72842.

22112012 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 2112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352440).

2112012 is an abundant number, since it is smaller than the sum of its proper divisors (4592868).

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

2112012 is a wasteful number, since it uses less digits than its factorization.

2112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

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

The square root of 2112012 is about 1453.2762985751. The cubic root of 2112012 is about 128.3016161944.

Adding to 2112012 its reverse (2102112), we get a palindrome (4214124).

It can be divided in two parts, 21 and 12012, that multiplied together give a palindrome (252252).

The spelling of 2112012 in words is "two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 29 34 36 42 51 58 63 68 84 87 102 116 119 126 153 174 203 204 238 252 261 289 306 348 357 406 476 493 522 578 609 612 714 812 867 986 1044 1071 1156 1218 1428 1479 1734 1827 1972 2023 2142 2436 2601 2958 3451 3468 3654 4046 4284 4437 5202 5916 6069 6902 7308 8092 8381 8874 10353 10404 12138 13804 16762 17748 18207 20706 24276 25143 31059 33524 36414 41412 50286 58667 62118 72828 75429 100572 117334 124236 150858 176001 234668 301716 352002 528003 704004 1056006 2112012