Search a number
-
+
12011222121002 = 21317229496911093
BaseRepresentation
bin1010111011001001010010…
…1000001011101000101010
31120112021001201110220202122
42232302110220023220222
53033242440330333002
641313513531031242
72346532165324316
oct256622450135052
946467051426678
1012011222121002
113910a26834475
12141ba31b9b522
13691865648180
142d74bc18cb46
1515c68d2386a2
hexaec94a0ba2a

12011222121002 has 96 divisors (see below), whose sum is σ = 21328163967600. Its totient is φ = 5036161277952.

The previous prime is 12011222121001. The next prime is 12011222121013. The reversal of 12011222121002 is 20012122211021.

It can be written as a sum of positive squares in 24 ways, for example, as 216661389961 + 11794560731041 = 465469^2 + 3434321^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (12011222121001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082769368 + ... + 1082780460.

Almost surely, 212011222121002 is an apocalyptic number.

12011222121002 is a deficient number, since it is larger than the sum of its proper divisors (9316941846598).

12011222121002 is a wasteful number, since it uses less digits than its factorization.

12011222121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16140 (or 16123 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12011222121002 its reverse (20012122211021), we get a palindrome (32023344332023).

The spelling of 12011222121002 in words is "twelve trillion, eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, two".

Divisors: 1 2 13 17 26 29 34 58 221 289 377 442 493 578 754 986 3757 4969 6409 7514 8381 9938 11093 12818 16762 22186 64597 84473 108953 129194 144101 144209 168946 188581 217906 288202 288418 321697 377162 643394 1098149 1436041 1873313 2196298 2449717 2451553 2872082 3205877 3746626 4182061 4899434 4903106 5468849 6411754 8364122 10937698 18668533 31846321 37337066 41645189 41676401 55121117 63692642 71095037 83290378 83352802 92970433 110242234 142190074 185940866 541387457 716574521 937058989 1082774914 1208615629 1433149042 1598512393 1874117978 2417231258 3197024786 12181766857 15930002813 20780661109 24363533714 27174710681 31860005626 41561322218 54349421362 207090036569 353271238853 414180073138 461970081577 706542477706 923940163154 6005611060501 12011222121002