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12012111101313 = 3246121411352257
BaseRepresentation
bin1010111011001100100110…
…0111010111110110000001
31120112100100200020210111100
42232303021213113312001
53033301300420220223
641314142045005013
72346563211455541
oct256631147276601
946470320223440
1012012111101313
11391134261a544
12142003b853769
13691977883b1b
142d756427b321
1515c6e12da043
hexaecc99d7d81

12012111101313 has 24 divisors (see below), whose sum is σ = 17396599035816. Its totient is φ = 7986964838400.

The previous prime is 12012111101279. The next prime is 12012111101359. The reversal of 12012111101313 is 31310111121021.

12012111101313 is a `hidden beast` number, since 120 + 121 + 1 + 110 + 1 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3707962318449 + 8304148782864 = 1925607^2 + 2881692^2 .

It is not a de Polignac number, because 12012111101313 - 28 = 12012111101057 is a prime.

It is a super-2 number, since 2×120121111013132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12012111101413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8206881 + ... + 9559137.

It is an arithmetic number, because the mean of its divisors is an integer number (724858293159).

Almost surely, 212012111101313 is an apocalyptic number.

It is an amenable number.

12012111101313 is a deficient number, since it is larger than the sum of its proper divisors (5384487934503).

12012111101313 is a wasteful number, since it uses less digits than its factorization.

12012111101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354865 (or 1354862 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 12012111101313 its reverse (31310111121021), we get a palindrome (43322222222334).

The spelling of 12012111101313 in words is "twelve trillion, twelve billion, one hundred eleven million, one hundred one thousand, three hundred thirteen".

Divisors: 1 3 9 461 1383 2141 4149 6423 19269 987001 1352257 2961003 4056771 8883009 12170313 623390477 1870171431 2895182237 5610514293 8685546711 26056640133 1334679011257 4004037033771 12012111101313