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12223000120 = 2358931710831
BaseRepresentation
bin10110110001000110…
…00010111000111000
31011112211201202000011
423120203002320320
5200013042000440
65340513151304
7611616533602
oct133043027070
934484652004
1012223000120
1152026239a1
12245155b534
1311ca412966
1483d4aa172
154b811e9ea
hex2d88c2e38

12223000120 has 64 divisors (see below), whose sum is σ = 27901065600. Its totient is φ = 4818570240.

The previous prime is 12223000117. The next prime is 12223000157. The reversal of 12223000120 is 2100032221.

It is a self number, because there is not a number n which added to its sum of digits gives 12223000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123105 + ... + 1133935.

It is an arithmetic number, because the mean of its divisors is an integer number (435954150).

Almost surely, 212223000120 is an apocalyptic number.

12223000120 is a gapful number since it is divisible by the number (10) 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 12223000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13950532800).

12223000120 is an abundant number, since it is smaller than the sum of its proper divisors (15678065480).

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

12223000120 is a wasteful number, since it uses less digits than its factorization.

12223000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11248 (or 11244 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12223000120 its reverse (2100032221), we get a palindrome (14323032341).

The spelling of 12223000120 in words is "twelve billion, two hundred twenty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 89 178 317 356 445 634 712 890 1268 1585 1780 2536 3170 3560 6340 10831 12680 21662 28213 43324 54155 56426 86648 108310 112852 141065 216620 225704 282130 433240 564260 963959 1128520 1927918 3433427 3855836 4819795 6866854 7711672 9639590 13733708 17167135 19279180 27467416 34334270 38558360 68668540 137337080 305575003 611150006 1222300012 1527875015 2444600024 3055750030 6111500060 12223000120