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112212012 = 223112109709
BaseRepresentation
bin1101011000000…
…11100000101100
321211010221221110
412230003200230
5212211241022
615045032020
72531533503
oct654034054
9254127843
10112212012
1158382600
12316b5610
131a32b153
1410c8d83a
159cb800c
hex6b0382c

112212012 has 72 divisors (see below), whose sum is σ = 290844400. Its totient is φ = 33644160.

The previous prime is 112212007. The next prime is 112212017. The reversal of 112212012 is 210212211.

It is an interprime number because it is at equal distance from previous prime (112212007) and next prime (112212017).

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

It is not an unprimeable number, because it can be changed into a prime (112212017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157914 + ... + 158622.

Almost surely, 2112212012 is an apocalyptic number.

112212012 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 112212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145422200).

112212012 is an abundant number, since it is smaller than the sum of its proper divisors (178632388).

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

112212012 is a wasteful number, since it uses less digits than its factorization.

112212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 834 counting only the distinct ones).

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

The square root of 112212012 is about 10593.0171339425. The cubic root of 112212012 is about 482.3324153342.

Adding to 112212012 its reverse (210212211), we get a palindrome (322424223).

The spelling of 112212012 in words is "one hundred twelve million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 121 132 218 242 327 363 436 484 654 709 726 1199 1308 1418 1452 2127 2398 2836 3597 4254 4796 7194 7799 8508 13189 14388 15598 23397 26378 31196 39567 46794 52756 77281 79134 85789 93588 154562 158268 171578 231843 257367 309124 343156 463686 514734 850091 927372 1029468 1700182 2550273 3400364 5100546 9351001 10201092 18702002 28053003 37404004 56106006 112212012