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12222112111001 = 13199261338729
BaseRepresentation
bin1011000111011010111010…
…1001101001100110011001
31121021102102000012102010222
42301312232221221212121
53100221341200023001
641554432155245425
72401006221551312
oct261665651514631
947242360172128
1012222112111001
113992406725301
121454888749875
136a8703b54bc0
143037a66a5609
15162dd276b61b
hexb1daea69999

12222112111001 has 24 divisors (see below), whose sum is σ = 13250671507080. Its totient is φ = 11206655057664.

The previous prime is 12222112110983. The next prime is 12222112111129. The reversal of 12222112111001 is 10011121122221.

It can be written as a sum of positive squares in 4 ways, for example, as 2430995497225 + 9791116613776 = 1559165^2 + 3129076^2 .

It is not a de Polignac number, because 12222112111001 - 26 = 12222112110937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12222112117001) 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, 315561005 + ... + 315599733.

It is an arithmetic number, because the mean of its divisors is an integer number (552111312795).

Almost surely, 212222112111001 is an apocalyptic number.

It is an amenable number.

12222112111001 is a deficient number, since it is larger than the sum of its proper divisors (1028559396079).

12222112111001 is an equidigital number, since it uses as much as digits as its factorization.

12222112111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39753 (or 39554 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12222112111001 its reverse (10011121122221), we get a palindrome (22233233233222).

The spelling of 12222112111001 in words is "twelve trillion, two hundred twenty-two billion, one hundred twelve million, one hundred eleven thousand, one".

Divisors: 1 13 199 613 2587 7969 38729 39601 121987 503477 514813 1585831 7707071 23740877 24275413 100191923 308631401 315580369 1533707129 4724434523 19938192677 61417648799 940162470077 12222112111001