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12321211002112 = 28283906718757
BaseRepresentation
bin1011001101001100000101…
…1001111010110100000000
31121121220012101020200101101
42303103001121322310000
53103332320004031422
642112141452344144
72411115044332225
oct263230131726400
947556171220341
1012321211002112
113a2043a440a11
12146bb24775054
136b4b67a702cc
143084c7b9b94c
1516578280ac27
hexb34c167ad00

12321211002112 has 72 divisors (see below), whose sum is σ = 24685235975456. Its totient is φ = 6137832278016.

The previous prime is 12321211002103. The next prime is 12321211002137. The reversal of 12321211002112 is 21120011212321.

It is a self number, because there is not a number n which added to its sum of digits gives 12321211002112.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 656876638 + ... + 656895394.

Almost surely, 212321211002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321211002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342617987728).

12321211002112 is an abundant number, since it is smaller than the sum of its proper divisors (12364024973344).

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

12321211002112 is an equidigital number, since it uses as much as digits as its factorization.

12321211002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28123 (or 28109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 12321211002112 its reverse (21120011212321), we get a palindrome (33441222214433).

The spelling of 12321211002112 in words is "twelve trillion, three hundred twenty-one billion, two hundred eleven million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 283 566 1132 2264 4528 9056 9067 18112 18134 18757 36224 36268 37514 72448 72536 75028 145072 150056 290144 300112 580288 600224 1160576 1200448 2321152 2400896 2565961 4801792 5131922 5308231 10263844 10616462 20527688 21232924 41055376 42465848 82110752 84931696 164221504 169863392 170069719 328443008 339726784 340139438 656886016 679453568 680278876 1358907136 1360557752 2721115504 5442231008 10884462016 21768924032 43537848064 48129730477 96259460954 192518921908 385037843816 770075687632 1540151375264 3080302750528 6160605501056 12321211002112