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12012222201201 = 341723216490497
BaseRepresentation
bin1010111011001101000000…
…1111001011110101110001
31120112100122102022020220000
42232303100033023311301
53033302012340414301
641314201054140213
72346566031011115
oct256632017136561
946470572266800
1012012222201201
11391139a302532
121420070ab1669
136919948b29c1
142d7574d1b745
1515c6eae33786
hexaecd03cbd71

12012222201201 has 60 divisors (see below), whose sum is σ = 19861716468132. Its totient is φ = 7209381003264.

The previous prime is 12012222201179. The next prime is 12012222201289. The reversal of 12012222201201 is 10210222221021.

It is a happy number.

12012222201201 is a `hidden beast` number, since 1 + 20 + 1 + 222 + 220 + 1 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8648592840801 + 3363629360400 = 2940849^2 + 1834020^2 .

It is not a de Polignac number, because 12012222201201 - 213 = 12012222193009 is a prime.

It is a super-2 number, since 2×120122222012012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12012222208201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7516816 + ... + 8973681.

Almost surely, 212012222201201 is an apocalyptic number.

It is an amenable number.

12012222201201 is a deficient number, since it is larger than the sum of its proper divisors (7849494266931).

12012222201201 is a wasteful number, since it uses less digits than its factorization.

12012222201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16490572 (or 16490540 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12012222201201 its reverse (10210222221021), we get a palindrome (22222444422222).

The spelling of 12012222201201 in words is "twelve trillion, twelve billion, two hundred twenty-two million, two hundred one thousand, two hundred one".

Divisors: 1 3 9 17 23 27 51 69 81 153 207 391 459 529 621 1173 1377 1587 1863 3519 4761 8993 10557 14283 26979 31671 42849 80937 242811 728433 16490497 49471491 148414473 280338449 379281431 445243419 841015347 1137844293 1335730257 2523046041 3413532879 6447784327 7569138123 8723472913 10240598637 19343352981 22707414369 26170418739 30721795911 58030058943 78511256217 148299039521 174090176829 235533768651 444897118563 522270530487 706601305953 1334691355689 4004074067067 12012222201201