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12010003122 = 23131019371627
BaseRepresentation
bin10110010111101101…
…00001101010110010
31010222222221101001110
423023312201222302
5144044030044442
65303424014150
7603422225235
oct131366415262
933888841043
1012010003122
115103374117
1223b2161356
131195257930
1481d0a341c
154a459969c
hex2cbda1ab2

12010003122 has 64 divisors (see below), whose sum is σ = 26167768704. Its totient is φ = 3652646400.

The previous prime is 12010003063. The next prime is 12010003133. The reversal of 12010003122 is 22130001021.

It is a junction number, because it is equal to n+sod(n) for n = 12010003098 and 12010003107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7380873 + ... + 7382499.

It is an arithmetic number, because the mean of its divisors is an integer number (408871386).

Almost surely, 212010003122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010003122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083884352).

12010003122 is an abundant number, since it is smaller than the sum of its proper divisors (14157765582).

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

12010003122 is a wasteful number, since it uses less digits than its factorization.

12010003122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12010003122 its reverse (22130001021), we get a palindrome (34140004143).

The spelling of 12010003122 in words is "twelve billion, ten million, three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 101 202 303 606 937 1313 1627 1874 2626 2811 3254 3939 4881 5622 7878 9762 12181 21151 24362 36543 42302 63453 73086 94637 126906 164327 189274 283911 328654 492981 567822 985962 1230281 1524499 2136251 2460562 3048998 3690843 4272502 4573497 6408753 7381686 9146994 12817506 19818487 39636974 59455461 118910922 153974399 307948798 461923197 923846394 2001667187 4003334374 6005001561 12010003122