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12235244253221 = 1122931972634409
BaseRepresentation
bin1011001000001011110101…
…1000110011000000100101
31121022200022012122100122202
42302002331120303000211
53100430240012100341
642004443230504245
72401652521121243
oct262027530630045
947280265570582
1012235244253221
113997a35455100
121457332665085
136a9a17712462
143042907cb793
151634005c179b
hexb20bd633025

12235244253221 has 96 divisors (see below), whose sum is σ = 14567715993600. Its totient is φ = 10244389478400.

The previous prime is 12235244253217. The next prime is 12235244253227.

12235244253221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12235244253221 - 22 = 12235244253217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12235244253227) 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 95 ways as a sum of consecutive naturals, for example, 2775058865 + ... + 2775063273.

It is an arithmetic number, because the mean of its divisors is an integer number (151747041600).

Almost surely, 212235244253221 is an apocalyptic number.

12235244253221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12235244253221 is a deficient number, since it is larger than the sum of its proper divisors (2332471740379).

12235244253221 is a wasteful number, since it uses less digits than its factorization.

12235244253221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851 (or 4840 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 1223524 and 4253221, that added together give a palindrome (5476745).

The spelling of 12235244253221 in words is "twelve trillion, two hundred thirty-five billion, two hundred forty-four million, two hundred fifty-three thousand, two hundred twenty-one".

Divisors: 1 11 29 31 97 121 263 319 341 899 1067 2813 2893 3007 3509 3751 4409 7627 8153 9889 11737 25511 30943 31823 33077 48499 83897 87203 89683 108779 127861 136679 236437 280621 340373 363847 427673 533489 739819 790841 922867 959233 986513 1159567 1406471 1503469 2600807 3086831 3963691 4704403 8138009 8699251 10551563 12402517 12755237 13257863 15471181 16538159 22934389 28608877 33627443 35946577 43600601 51748433 89518099 95691761 112477999 136427687 140307607 145836493 252278279 369901873 384478027 395412347 479606611 1042450733 1237257989 1500704557 1604201423 2775061069 3261861971 3486817969 4068920603 4229258297 4349535817 11466958063 13609837879 35880481681 38354997659 46521841267 101117721101 126136538693 394685298491 421904974249 1112294932111 12235244253221