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12211211101320 = 23325711440519881
BaseRepresentation
bin1011000110110010010011…
…1001100110010010001000
31121020101021022000202002200
42301230210321212102020
53100032030020220240
641545430345000200
72400142123524060
oct261544471462210
947211238022080
1012211211101320
1139888223593a0
121452745a83060
136a76875a960a
14303050a023a0
15162995732930
hexb1b24e66488

12211211101320 has 192 divisors, whose sum is σ = 49479193146240. Its totient is φ = 2537394508800.

The previous prime is 12211211101291. The next prime is 12211211101343. The reversal of 12211211101320 is 2310111211221.

It is a happy number.

12211211101320 is a `hidden beast` number, since 1 + 2 + 211 + 21 + 110 + 1 + 320 = 666.

It is a super-2 number, since 2×122112111013202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12211211101293 and 12211211101302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220232221 + ... + 220287660.

It is an arithmetic number, because the mean of its divisors is an integer number (257704130970).

Almost surely, 212211211101320 is an apocalyptic number.

12211211101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211211101320 is an abundant number, since it is smaller than the sum of its proper divisors (37267982044920).

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

12211211101320 is a wasteful number, since it uses less digits than its factorization.

12211211101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440519916 (or 440519909 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12211211101320 its reverse (2310111211221), we get a palindrome (14521322312541).

The spelling of 12211211101320 in words is "twelve trillion, two hundred eleven billion, two hundred eleven million, one hundred one thousand, three hundred twenty".