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12112222211201 = 729437188322133
BaseRepresentation
bin1011000001000001100010…
…1100111100110010000001
31120212220202120222002212002
42300100120230330302001
53041421312341224301
641432140021313345
72360036105040560
oct260203054746201
946786676862762
1012112222211201
11394a8457450a2
12143751a865855
1369b2403c6b58
142dc33dd81bd7
1516010017116b
hexb0418b3cc81

12112222211201 has 64 divisors (see below), whose sum is σ = 14876767825920. Its totient is φ = 9641527822080.

The previous prime is 12112222211189. The next prime is 12112222211231. The reversal of 12112222211201 is 10211222221121.

It is not a de Polignac number, because 12112222211201 - 238 = 11837344304257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12112222211231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 547236131 + ... + 547258263.

It is an arithmetic number, because the mean of its divisors is an integer number (232449497280).

Almost surely, 212112222211201 is an apocalyptic number.

It is an amenable number.

12112222211201 is a deficient number, since it is larger than the sum of its proper divisors (2764545614719).

12112222211201 is a wasteful number, since it uses less digits than its factorization.

12112222211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23166.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 12112222211201 its reverse (10211222221121), we get a palindrome (22323444432322).

It can be divided in two parts, 1211222221120 and 1, that added together give a palindrome (1211222221121).

The spelling of 12112222211201 in words is "twelve trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, two hundred one".

Divisors: 1 7 29 43 71 203 301 497 883 1247 2059 3053 6181 8729 14413 21371 22133 25607 37969 62693 88537 154931 179249 265783 438851 619759 641857 951719 1101101 1571443 1818097 2695799 4492999 6662033 7707707 11000101 12726679 18870593 19543439 27599851 45571847 67572049 78178171 136804073 193198957 319002929 473004343 547247197 566759731 840367877 1387584169 1959589421 3967318117 5882575139 9713089183 13717125947 24370668433 40239940901 59666119267 170594679031 281679586307 417662834869 1730317458743 12112222211201