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12303221113332 = 22322959107199379
BaseRepresentation
bin1011001100001001000100…
…0111111100000111110100
31121120011202122002122100100
42303002101013330013310
53103033444101111312
642100004410514100
72406610200652002
oct263022107740764
947504678078310
1012303221113332
113a13848635236
121468543a35930
136b325b9700c6
1430769c843a72
1516507d29d5dc
hexb30911fc1f4

12303221113332 has 72 divisors (see below), whose sum is σ = 32172921799200. Its totient is φ = 3959570518848.

The previous prime is 12303221113307. The next prime is 12303221113333. The reversal of 12303221113332 is 23331112230321.

12303221113332 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 322 + 1 + 1 + 1 + 3 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12303221113296 and 12303221113305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303221113333) 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, 61608019 + ... + 61807397.

It is an arithmetic number, because the mean of its divisors is an integer number (446846136100).

Almost surely, 212303221113332 is an apocalyptic number.

12303221113332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12303221113332 is an abundant number, since it is smaller than the sum of its proper divisors (19869700685868).

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

12303221113332 is a wasteful number, since it uses less digits than its factorization.

12303221113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258525 (or 258520 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12303221113332 its reverse (23331112230321), we get a palindrome (35634333343653).

The spelling of 12303221113332 in words is "twelve trillion, three hundred three billion, two hundred twenty-one million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 59107 118214 177321 199379 236428 354642 398758 531963 598137 709284 797516 1063926 1196274 1714103 1794411 2127852 2392548 3428206 3588822 5142309 5781991 6856412 7177644 10284618 11563982 15426927 17345973 20569236 23127964 30853854 34691946 52037919 61707708 69383892 104075838 208151676 11784694553 23569389106 35354083659 47138778212 70708167318 106062250977 141416334636 212124501954 341756142037 424249003908 683512284074 1025268426111 1367024568148 2050536852222 3075805278333 4101073704444 6151610556666 12303221113332