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112124012 = 227111341683
BaseRepresentation
bin1101010111011…
…10000001101100
321210222111020012
412223232001230
5212200432022
615043112352
72531016110
oct653560154
9253874205
10112124012
1158322480
12316726b8
131a2ca090
1410c69740
159c9bde2
hex6aee06c

112124012 has 96 divisors (see below), whose sum is σ = 270273024. Its totient is φ = 39283200.

The previous prime is 112124009. The next prime is 112124017. The reversal of 112124012 is 210421211.

It is a happy number.

It is a super-2 number, since 2×1121240122 = 25143588133952288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (112124017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163823 + ... + 164505.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 2112124012 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 112124012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

112124012 is an abundant number, since it is smaller than the sum of its proper divisors (158149012).

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

112124012 is a wasteful number, since it uses less digits than its factorization.

112124012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 112124012 is about 10588.8626395850. The cubic root of 112124012 is about 482.2062958804.

Adding to 112124012 its reverse (210421211), we get a palindrome (322545223).

The spelling of 112124012 in words is "one hundred twelve million, one hundred twenty-four thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 41 44 52 77 82 91 143 154 164 182 286 287 308 364 451 533 572 574 683 902 1001 1066 1148 1366 1804 2002 2132 2732 3157 3731 4004 4781 5863 6314 7462 7513 8879 9562 11726 12628 14924 15026 17758 19124 23452 28003 30052 35516 41041 52591 56006 62153 82082 97669 105182 112012 124306 164164 195338 196021 210364 248612 308033 364039 390676 392042 616066 683683 728078 784084 1232132 1367366 1456156 2156231 2548273 2734732 4004429 4312462 5096546 8008858 8624924 10193092 16017716 28031003 56062006 112124012