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12010100211122 = 2134122481501157
BaseRepresentation
bin1010111011000101000111…
…0000011011110110110010
31120112011011112101222201212
42232301101300123312302
53033233141123223442
641313210332400122
72346462323256116
oct256612160336662
946464145358655
1012010100211122
113910500514a22
12141b77a316042
13691717095980
142d7413189746
1515c6249c5a82
hexaec51c1bdb2

12010100211122 has 32 divisors (see below), whose sum is σ = 19875048251184. Its totient is φ = 5407673702400.

The previous prime is 12010100211107. The next prime is 12010100211143. The reversal of 12010100211122 is 22111200101021.

It can be written as a sum of positive squares in 8 ways, for example, as 2496101521 + 12007604109601 = 49961^2 + 3465199^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12010100211097 and 12010100211106.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23714168 + ... + 24215324.

Almost surely, 212010100211122 is an apocalyptic number.

12010100211122 is a deficient number, since it is larger than the sum of its proper divisors (7864948040062).

12010100211122 is a wasteful number, since it uses less digits than its factorization.

12010100211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523694.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12010100211122 its reverse (22111200101021), we get a palindrome (34121300312143).

The spelling of 12010100211122 in words is "twelve trillion, ten billion, one hundred million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 13 26 41 82 533 1066 22481 44962 292253 501157 584506 921721 1002314 1843442 6515041 11982373 13030082 20547437 23964746 41094874 267116681 534233362 11266510517 22533021034 146464636721 292929273442 461926931197 923853862394 6005050105561 12010100211122