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12223010112 = 263715211721
BaseRepresentation
bin10110110001000110…
…00101010101000000
31011112211202020201020
423120203011111000
5200013042310422
65340513305440
7611616604665
oct133043052500
934484666636
1012223010112
115202630455
122451565280
1311ca417381
1483d4ada6c
154b812295c
hex2d88c5540

12223010112 has 112 divisors (see below), whose sum is σ = 32877581184. Its totient is φ = 4006912000.

The previous prime is 12223010101. The next prime is 12223010141. The reversal of 12223010112 is 21101032221.

It is a junction number, because it is equal to n+sod(n) for n = 12223010091 and 12223010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7101412 + ... + 7103132.

It is an arithmetic number, because the mean of its divisors is an integer number (293549832).

Almost surely, 212223010112 is an apocalyptic number.

12223010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16438790592).

12223010112 is an abundant number, since it is smaller than the sum of its proper divisors (20654571072).

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

12223010112 is a wasteful number, since it uses less digits than its factorization.

12223010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12223010112 its reverse (21101032221), we get a palindrome (33324042333).

The spelling of 12223010112 in words is "twelve billion, two hundred twenty-three million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 521 568 852 1042 1136 1563 1704 1721 2084 2272 3126 3408 3442 4168 4544 5163 6252 6816 6884 8336 10326 12504 13632 13768 16672 20652 25008 27536 33344 36991 41304 50016 55072 73982 82608 100032 110144 110973 122191 147964 165216 221946 244382 295928 330432 366573 443892 488764 591856 733146 887784 896641 977528 1183712 1466292 1775568 1793282 1955056 2367424 2689923 2932584 3551136 3586564 3910112 5379846 5865168 7102272 7173128 7820224 10759692 11730336 14346256 21519384 23460672 28692512 43038768 57385024 63661511 86077536 127323022 172155072 190984533 254646044 381969066 509292088 763938132 1018584176 1527876264 2037168352 3055752528 4074336704 6111505056 12223010112