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12211201110012 = 22357713211335053
BaseRepresentation
bin1011000110110010010001…
…0011011110111111111100
31121020101020121020010121020
42301230210103132333330
53100032014441010022
641545425350504140
72400141642561642
oct261544423367774
947211217203536
1012211201110012
113988817754813
121452742665050
136a76854bb9b8
1430304d561192
1516299490c35c
hexb1b244deffc

12211201110012 has 48 divisors (see below), whose sum is σ = 28563811423392. Its totient is φ = 4060266946560.

The previous prime is 12211201110011. The next prime is 12211201110013. The reversal of 12211201110012 is 21001110211221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12211201110011) and next prime (12211201110013).

It is a super-2 number, since 2×122112011100122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211201109973 and 12211201110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211201110011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8479078 + ... + 9814130.

It is an arithmetic number, because the mean of its divisors is an integer number (595079404654).

Almost surely, 212211201110012 is an apocalyptic number.

12211201110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211201110012 is an abundant number, since it is smaller than the sum of its proper divisors (16352610313380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211201110012 is a wasteful number, since it uses less digits than its factorization.

12211201110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336958 (or 1336956 counting only the distinct ones).

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

Adding to 12211201110012 its reverse (21001110211221), we get a palindrome (33212311321233).

The spelling of 12211201110012 in words is "twelve trillion, two hundred eleven billion, two hundred one million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 577 1154 1321 1731 2308 2642 3462 3963 5284 6924 7926 15852 762217 1335053 1524434 2286651 2670106 3048868 4005159 4573302 5340212 8010318 9146604 16020636 770325581 1540651162 1763605013 2310976743 3081302324 3527210026 4621953486 5290815039 7054420052 9243906972 10581630078 21163260156 1017600092501 2035200185002 3052800277503 4070400370004 6105600555006 12211201110012