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12110201221011 = 3371117442122093
BaseRepresentation
bin1011000000111010000000…
…1111011110111110010011
31120212201112202010011111120
42300032200033132332103
53041403143003033021
641431203304413323
72356635034644105
oct260164017367623
946781482104446
1012110201221011
1139499a8971273
121437055a77243
1369acaa7b077a
142dc1cb7c1575
15160032a142c6
hexb03a03def93

12110201221011 has 32 divisors (see below), whose sum is σ = 16602690781248. Its totient is φ = 7846102817280.

The previous prime is 12110201220977. The next prime is 12110201221061. The reversal of 12110201221011 is 11012210201121.

It is a happy number.

It is not a de Polignac number, because 12110201221011 - 217 = 12110201089939 is a prime.

It is a super-2 number, since 2×121102012210112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12110201221061) 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 31 ways as a sum of consecutive naturals, for example, 548135481 + ... + 548157573.

It is an arithmetic number, because the mean of its divisors is an integer number (518834086914).

Almost surely, 212110201221011 is an apocalyptic number.

12110201221011 is a deficient number, since it is larger than the sum of its proper divisors (4492489560237).

12110201221011 is a wasteful number, since it uses less digits than its factorization.

12110201221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27671.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12110201221011 its reverse (11012210201121), we get a palindrome (23122411422132).

The spelling of 12110201221011 in words is "twelve trillion, one hundred ten billion, two hundred one million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 37 111 1117 3351 4421 13263 22093 41329 66279 123987 163577 490731 817441 2452323 4938257 14814771 24677881 74033643 97673153 182715509 293019459 548146527 913081597 2739244791 3613906661 10841719983 109100911901 327302735703 4036733740337 12110201221011