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12011031123 = 3713292815399
BaseRepresentation
bin10110010111110100…
…11100101001010011
31011000001212121012120
423023322130221103
5144044310443443
65303502025323
7603434036310
oct131372345123
934001777176
1012011031123
115103a06503
1223b2578243
131195527810
1481d28dd07
154a46ee083
hex2cbe9ca53

12011031123 has 64 divisors (see below), whose sum is σ = 20466432000. Its totient is φ = 6094126080.

The previous prime is 12011031113. The next prime is 12011031161. The reversal of 12011031123 is 32113011021.

It is a happy number.

It is not a de Polignac number, because 12011031123 - 26 = 12011031059 is a prime.

It is a super-2 number, since 2×120110311232 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12011031113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2221978 + ... + 2227376.

It is an arithmetic number, because the mean of its divisors is an integer number (319788000).

Almost surely, 212011031123 is an apocalyptic number.

12011031123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12011031123 is a deficient number, since it is larger than the sum of its proper divisors (8455400877).

12011031123 is a wasteful number, since it uses less digits than its factorization.

12011031123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12011031123 its reverse (32113011021), we get a palindrome (44124042144).

The spelling of 12011031123 in words is "twelve billion, eleven million, thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 13 21 29 39 87 91 203 273 281 377 609 843 1131 1967 2639 3653 5399 5901 7917 8149 10959 16197 24447 25571 37793 57043 70187 76713 105937 113379 156571 171129 210561 317811 469713 491309 741559 1095997 1473927 1517119 2035423 2224677 3287991 4551357 6106269 10619833 14247961 19722547 31859499 42743883 43996451 59167641 131989353 138057829 307975157 414173487 571953863 923925471 1715861589 4003677041 12011031123