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12422085000 = 233541363703
BaseRepresentation
bin10111001000110100…
…11111100110001000
31012001201100022010020
423210122133212020
5200420023210000
65412344220440
7616554660153
oct134432374610
935051308106
1012422085000
1152a4a41356
1224a816a720
13122c739570
1485bad0c9a
154ca847ba0
hex2e469f988

12422085000 has 160 divisors (see below), whose sum is σ = 41792372160. Its totient is φ = 3057696000.

The previous prime is 12422084963. The next prime is 12422085037. The reversal of 12422085000 is 58022421.

12422085000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12422084963) and next prime (12422085037).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 163149 + ... + 226851.

It is an arithmetic number, because the mean of its divisors is an integer number (261202326).

Almost surely, 212422085000 is an apocalyptic number.

12422085000 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 12422085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20896186080).

12422085000 is an abundant number, since it is smaller than the sum of its proper divisors (29370287160).

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

12422085000 is a wasteful number, since it uses less digits than its factorization.

12422085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63745 (or 63726 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 12422085000 in words is "twelve billion, four hundred twenty-two million, eighty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 625 650 750 780 975 1000 1250 1300 1500 1560 1625 1875 1950 2500 2600 3000 3250 3750 3900 4875 5000 6500 7500 7800 8125 9750 13000 15000 16250 19500 24375 32500 39000 48750 63703 65000 97500 127406 191109 195000 254812 318515 382218 509624 637030 764436 828139 955545 1274060 1528872 1592575 1656278 1911090 2484417 2548120 3185150 3312556 3822180 4140695 4777725 4968834 6370300 6625112 7644360 7962875 8281390 9555450 9937668 12422085 12740600 15925750 16562780 19110900 19875336 20703475 23888625 24844170 31851500 33125560 38221800 39814375 41406950 47777250 49688340 62110425 63703000 79628750 82813900 95554500 99376680 103517375 119443125 124220850 159257500 165627800 191109000 207034750 238886250 248441700 310552125 318515000 414069500 477772500 496883400 517586875 621104250 828139000 955545000 1035173750 1242208500 1552760625 2070347500 2484417000 3105521250 4140695000 6211042500 12422085000