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12011100222121 = 7211133260952567
BaseRepresentation
bin1010111011001000110101…
…0111001011001010101001
31120112020202020002210221021
42232302031113023022221
53033242213124101441
641313453454212441
72346526155234100
oct256621527131251
946466666083837
1012011100222121
113910973a45aa0
12141b9b91b4121
13691846307b60
142d74a9cdb037
1515c6826aa3d1
hexaec8d5cb2a9

12011100222121 has 48 divisors (see below), whose sum is σ = 16415585988480. Its totient is φ = 8638923525120.

The previous prime is 12011100222109. The next prime is 12011100222131. The reversal of 12011100222121 is 12122200111021.

It is not a de Polignac number, because 12011100222121 - 27 = 12011100221993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12011100222095 and 12011100222104.

It is not an unprimeable number, because it can be changed into a prime (12011100222131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228464980 + ... + 228517546.

It is an arithmetic number, because the mean of its divisors is an integer number (341991374760).

Almost surely, 212011100222121 is an apocalyptic number.

12011100222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011100222121 is a deficient number, since it is larger than the sum of its proper divisors (4404485766359).

12011100222121 is a wasteful number, since it uses less digits than its factorization.

12011100222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85214 (or 85207 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12011100222121 its reverse (12122200111021), we get a palindrome (24133300333142).

It can be divided in two parts, 12011100 and 222121, that added together give a palindrome (12233221).

The spelling of 12011100222121 in words is "twelve trillion, eleven billion, one hundred million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 32609 52567 228263 358699 367969 423917 578237 683371 1597841 2510893 2575783 2967419 4047659 4663087 4783597 7517081 17576251 20771933 28333613 32641609 33485179 52619567 228491263 368336969 1714157303 11999101121 18855730333 22284044939 83993707847 131990112331 155988314573 245124494329 923930786317 1091918202011 1715871460303 12011100222121