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12023122132021 = 7211132990113331
BaseRepresentation
bin1010111011110101100111…
…1011000111110000110101
31120120101210001110010000111
42232331121323013300311
53033441323231211041
641323202425343021
72350433113623100
oct256753173076065
946511701403014
1012023122132021
113915a83001920
1214221b3337a71
13692a10b71200
142d7cca7bd737
1515cb37d07981
hexaef59ec7c35

12023122132021 has 72 divisors (see below), whose sum is σ = 16524389315808. Its totient is φ = 8646477840000.

The previous prime is 12023122132003. The next prime is 12023122132027.

12023122132021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12023122132021 - 29 = 12023122131509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12023122131983 and 12023122132001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023122132027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 901885326 + ... + 901898656.

It is an arithmetic number, because the mean of its divisors is an integer number (229505407164).

Almost surely, 212023122132021 is an apocalyptic number.

12023122132021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12023122132021 is a deficient number, since it is larger than the sum of its proper divisors (4501267183787).

12023122132021 is a wasteful number, since it uses less digits than its factorization.

12023122132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23283 (or 23263 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 1202312 and 2132021, that added together give a palindrome (3334333).

The spelling of 12023122132021 in words is "twelve trillion, twenty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 7 11 13 49 77 91 143 169 539 637 1001 1183 1859 7007 8281 9901 13013 13331 69307 91091 93317 108911 128713 146641 173303 485149 653219 762377 900991 1026487 1213121 1415843 1673269 1906333 2252939 5336639 6306937 7185409 8491847 9910901 11712883 13344331 15770573 18405959 24782329 69376307 81990181 93410317 110394011 128841713 131990231 173476303 901891991 923931617 1214334121 1451892541 1715873003 6467521319 10163247787 12011111021 18874603033 22306349039 71142734509 84077777147 132122221231 156144443273 245369839429 924855548617 1093011102911 1717588876003 12023122132021