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12012100012231 = 1179193244729269
BaseRepresentation
bin1010111011001100100011…
…1101000100100011000111
31120112100022220101102010121
42232303020331010203013
53033301240100342411
641314141011202411
72346563015302054
oct256631075044307
946470286342117
1012012100012231
113911337336110
121420037ba6407
136919754a0637
142d75629d202b
1515c6e0349571
hexaecc8f448c7

12012100012231 has 32 divisors (see below), whose sum is σ = 13344647270400. Its totient is φ = 10721247713280.

The previous prime is 12012100012219. The next prime is 12012100012243. The reversal of 12012100012231 is 13221000121021.

12012100012231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12012100012219) and next prime (12012100012243).

It is a cyclic number.

It is not a de Polignac number, because 12012100012231 - 219 = 12012099487943 is a prime.

It is a super-2 number, since 2×120121000122312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012100012291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410388865 + ... + 410418133.

It is an arithmetic number, because the mean of its divisors is an integer number (417020227200).

Almost surely, 212012100012231 is an apocalyptic number.

12012100012231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12012100012231 is a deficient number, since it is larger than the sum of its proper divisors (1332547258169).

12012100012231 is a wasteful number, since it uses less digits than its factorization.

12012100012231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31999.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12012100012231 its reverse (13221000121021), we get a palindrome (25233100133252).

The spelling of 12012100012231 in words is "twelve trillion, twelve billion, one hundred million, twelve thousand, two hundred thirty-one".

Divisors: 1 11 79 193 869 2123 2447 15247 26917 29269 167717 193313 321959 472271 2126443 2312251 5194981 5648917 25434761 37309409 62138087 71621243 410403499 446264443 787833673 4908908873 5658078197 13822899899 62238860167 152051898889 1092009092021 12012100012231