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12211121201013 = 3271925140643179
BaseRepresentation
bin1011000110110001111110…
…0010101001111101110101
31121020101001000212100001200
42301230133202221331311
53100031334011413023
641545413414043113
72400136652425050
oct261543742517565
947211030770050
1012211121201013
113988786635a19
12145271b949499
136a7671a90b77
14303042abda97
1516298c8c5743
hexb1b1f8a9f75

12211121201013 has 48 divisors (see below), whose sum is σ = 21303529228800. Its totient is φ = 6584194836000.

The previous prime is 12211121200879. The next prime is 12211121201021. The reversal of 12211121201013 is 31010212111221.

It is a happy number.

It is not a de Polignac number, because 12211121201013 - 218 = 12211120938869 is a prime.

It is a super-2 number, since 2×122111212010132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211121201113) 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, 20021143 + ... + 20622036.

It is an arithmetic number, because the mean of its divisors is an integer number (443823525600).

Almost surely, 212211121201013 is an apocalyptic number.

It is an amenable number.

12211121201013 is a deficient number, since it is larger than the sum of its proper divisors (9092408027787).

12211121201013 is a wasteful number, since it uses less digits than its factorization.

12211121201013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40643462 (or 40643459 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12211121201013 its reverse (31010212111221), we get a palindrome (43221333312234).

The spelling of 12211121201013 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, two hundred one thousand, thirteen".

Divisors: 1 3 7 9 19 21 57 63 133 171 251 399 753 1197 1757 2259 4769 5271 14307 15813 33383 42921 100149 300447 40643179 121929537 284502253 365788611 772220401 853506759 2316661203 2560520277 5405542807 6949983609 10201437929 16216628421 30604313787 48649885263 71410065503 91812941361 193827320651 214230196509 581481961953 642690589527 1356791244557 1744445885859 4070373733671 12211121201013