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12122112012 = 2237144332117
BaseRepresentation
bin10110100101000100…
…01100000000001100
31011021210220002112120
423102202030000030
5144311230041022
65322510532540
7606253152303
oct132242140014
934253802476
1012122112012
11516068619a
122423807150
1311b254ab5a
1482dd2743a
154ae341d5c
hex2d288c00c

12122112012 has 48 divisors (see below), whose sum is σ = 28748950272. Its totient is φ = 3974676160.

The previous prime is 12122111993. The next prime is 12122112031. The reversal of 12122112012 is 21021122121.

It is an interprime number because it is at equal distance from previous prime (12122111993) and next prime (12122112031).

It is a junction number, because it is equal to n+sod(n) for n = 12122111982 and 12122112000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 361378 + ... + 393494.

It is an arithmetic number, because the mean of its divisors is an integer number (598936464).

Almost surely, 212122112012 is an apocalyptic number.

12122112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122112012 is an abundant number, since it is smaller than the sum of its proper divisors (16626838260).

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

12122112012 is a wasteful number, since it uses less digits than its factorization.

12122112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32638 (or 32636 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122112012 its reverse (21021122121), we get a palindrome (33143234133).

The spelling of 12122112012 in words is "twelve billion, one hundred twenty-two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 443 852 886 1329 1772 2658 5316 31453 32117 62906 64234 94359 96351 125812 128468 188718 192702 377436 385404 2280307 4560614 6840921 9121228 13681842 14227831 27363684 28455662 42683493 56911324 85366986 170733972 1010176001 2020352002 3030528003 4040704004 6061056006 12122112012