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12111011111121 = 31313927740120113
BaseRepresentation
bin1011000000111101000010…
…0000111110000011010001
31120212210122012001211212120
42300033100200332003101
53041411322321023441
641431415515244453
72356664100621546
oct260172040760321
946783565054776
1012111011111121
11394a28404773a
121437241149729
1369b0a95171a0
142dc2671a2bcd
1516007db91966
hexb03d083e0d1

12111011111121 has 64 divisors (see below), whose sum is σ = 17623223842560. Its totient is φ = 7353848217600.

The previous prime is 12111011111099. The next prime is 12111011111123. The reversal of 12111011111121 is 12111111011121.

It is a happy number.

It is not a de Polignac number, because 12111011111121 - 29 = 12111011110609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12111011111121.

It is not an unprimeable number, because it can be changed into a prime (12111011111123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 602138361 + ... + 602158473.

It is an arithmetic number, because the mean of its divisors is an integer number (275362872540).

Almost surely, 212111011111121 is an apocalyptic number.

It is an amenable number.

12111011111121 is a deficient number, since it is larger than the sum of its proper divisors (5512212731439).

12111011111121 is a wasteful number, since it uses less digits than its factorization.

12111011111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20946.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 12111011111121 its reverse (12111111011121), we get a palindrome (24222122122242).

The spelling of 12111011111121 in words is "twelve trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 13 39 139 277 401 417 831 1203 1807 3601 5213 5421 10803 15639 20113 38503 55739 60339 111077 115509 167217 261469 333231 500539 724607 784407 1444001 1501617 2173821 2795707 4332003 5571301 8065313 8387121 15439703 16713903 24195939 36344191 46319109 72426913 104849069 109032573 200716139 217280739 314547207 602148417 774410839 1121078507 2234091701 2323232517 3363235521 6702275103 10067340907 14574020591 29043192113 30202022721 43722061773 87129576339 310538746439 931616239317 4037003703707 12111011111121