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12022010112 = 28372236237
BaseRepresentation
bin10110011001001000…
…10101000100000000
31011000211112101112210
423030210111010000
5144110113310422
65304533222120
7603626254110
oct131444250400
934024471483
1012022010112
11510a125152
1223b6191940
13119789cb68
1482090b040
154a566c10c
hex2cc915100

12022010112 has 72 divisors (see below), whose sum is σ = 36566963776. Its totient is φ = 3434858496.

The previous prime is 12022010107. The next prime is 12022010159. The reversal of 12022010112 is 21101022021.

It is a super-3 number, since 3×120220101123 (a number of 31 digits) contains 333 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 1112743 + ... + 1123494.

Almost surely, 212022010112 is an apocalyptic number.

12022010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12022010112 is an abundant number, since it is smaller than the sum of its proper divisors (24544953664).

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

12022010112 is an equidigital number, since it uses as much as digits as its factorization.

12022010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236263 (or 2236249 counting only the distinct ones).

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

Adding to 12022010112 its reverse (21101022021), we get a palindrome (33123032133).

The spelling of 12022010112 in words is "twelve billion, twenty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 2236237 4472474 6708711 8944948 13417422 15653659 17889896 26834844 31307318 35779792 46960977 53669688 62614636 71559584 93921954 107339376 125229272 143119168 187843908 214678752 250458544 286238336 375687816 429357504 500917088 572476672 751375632 858715008 1001834176 1502751264 1717430016 2003668352 3005502528 4007336704 6011005056 12022010112