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112000121112 = 233111732452271
BaseRepresentation
bin110100001001110111…
…0100011100100011000
3101201002110222122201210
41220103232203210120
53313334012333422
6123241355143120
711043316215225
oct1502356434430
9351073878653
10112000121112
114355416a770
1219858744aa0
13a73b9b7419
1455c6ab094c
152da79d110c
hex1a13ba3918

112000121112 has 64 divisors (see below), whose sum is σ = 307220636160. Its totient is φ = 33743235200.

The previous prime is 112000121039. The next prime is 112000121117. The reversal of 112000121112 is 211121000211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000121117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180464 + ... + 1271807.

It is an arithmetic number, because the mean of its divisors is an integer number (4800322440).

Almost surely, 2112000121112 is an apocalyptic number.

112000121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112000121112 is an abundant number, since it is smaller than the sum of its proper divisors (195220515048).

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

112000121112 is a wasteful number, since it uses less digits than its factorization.

112000121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452464 (or 2452460 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112000121112 its reverse (211121000211), we get a palindrome (323121121323).

The spelling of 112000121112 in words is "one hundred twelve billion, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 173 264 346 519 692 1038 1384 1903 2076 3806 4152 5709 7612 11418 15224 22836 45672 2452271 4904542 7356813 9809084 14713626 19618168 26974981 29427252 53949962 58854504 80924943 107899924 161849886 215799848 323699772 424242883 647399544 848485766 1272728649 1696971532 2545457298 3393943064 4666671713 5090914596 9333343426 10181829192 14000015139 18666686852 28000030278 37333373704 56000060556 112000121112