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12023233112231 = 1121947891250243
BaseRepresentation
bin1010111011110110000010…
…0010011110100010100111
31120120102001210021111020122
42232331200202132202213
53033442040134042411
641323221432152155
72350435632136415
oct256754042364247
946512053244218
1012023233112231
11391602a712a00
12142222453865b
13692a2ab5a783
142d7cdb42c2b5
1515cb4292a9db
hexaef6089e8a7

12023233112231 has 48 divisors (see below), whose sum is σ = 14366803852800. Its totient is φ = 10020739639680.

The previous prime is 12023233112213. The next prime is 12023233112257. The reversal of 12023233112231 is 13221133232021.

It is not a de Polignac number, because 12023233112231 - 234 = 12006053243047 is a prime.

It is a super-2 number, since 2×120232331122312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12023233112231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023233112281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8991596 + ... + 10241838.

It is an arithmetic number, because the mean of its divisors is an integer number (299308413600).

Almost surely, 212023233112231 is an apocalyptic number.

12023233112231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12023233112231 is a deficient number, since it is larger than the sum of its proper divisors (2343570740569).

12023233112231 is a wasteful number, since it uses less digits than its factorization.

12023233112231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250420 (or 1250409 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12023233112231 its reverse (13221133232021), we get a palindrome (25244366344252).

The spelling of 12023233112231 in words is "twelve trillion, twenty-three billion, two hundred thirty-three million, one hundred twelve thousand, two hundred thirty-one".

Divisors: 1 11 19 47 89 121 209 517 893 979 1691 2299 4183 5687 9823 10769 18601 46013 79477 108053 204611 506143 874247 1250243 9616717 13752673 23754617 58761421 111271627 151279403 261300787 646375631 1116466999 1223987897 2114160913 2874308657 5229766469 7110131941 12281136989 13463866867 23255770043 57527431159 99365562911 135092506879 255813470473 632801742749 1093021192021 12023233112231