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12340223000 = 235372636703
BaseRepresentation
bin10110111111000100…
…01101110000011000
31011212000022021120022
423133202031300120
5200233044114000
65400301450012
7614542110350
oct133742156030
934760267508
1012340223000
115262809206
122484870908
1312187a6801
14850ca1b60
154c3577585
hex2df88dc18

12340223000 has 128 divisors (see below), whose sum is σ = 33131704320. Its totient is φ = 4214217600.

The previous prime is 12340222997. The next prime is 12340223047. The reversal of 12340223000 is 32204321.

12340223000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123402230002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12340223000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837649 + ... + 1844351.

It is an arithmetic number, because the mean of its divisors is an integer number (258841440).

Almost surely, 212340223000 is an apocalyptic number.

12340223000 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 12340223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565852160).

12340223000 is an abundant number, since it is smaller than the sum of its proper divisors (20791481320).

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

12340223000 is a wasteful number, since it uses less digits than its factorization.

12340223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 12340223000 its reverse (32204321), we get a palindrome (12372427321).

The spelling of 12340223000 in words is "twelve billion, three hundred forty million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 263 280 350 500 526 700 875 1000 1052 1315 1400 1750 1841 2104 2630 3500 3682 5260 6575 6703 7000 7364 9205 10520 13150 13406 14728 18410 26300 26812 32875 33515 36820 46025 46921 52600 53624 65750 67030 73640 92050 93842 131500 134060 167575 184100 187684 230125 234605 263000 268120 335150 368200 375368 460250 469210 670300 837875 920500 938420 1173025 1340600 1675750 1762889 1841000 1876840 2346050 3351500 3525778 4692100 5865125 6703000 7051556 8814445 9384200 11730250 12340223 14103112 17628890 23460500 24680446 35257780 44072225 46921000 49360892 61701115 70515560 88144450 98721784 123402230 176288900 220361125 246804460 308505575 352577800 440722250 493608920 617011150 881444500 1234022300 1542527875 1762889000 2468044600 3085055750 6170111500 12340223000