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12214214000 = 245373269311
BaseRepresentation
bin10110110000000011…
…00001110101110000
31011112020012100201022
423120001201311300
5200003314322000
65340000555012
7611452051232
oct133001416560
934466170638
1012214214000
1151a867283a
12244a622a68
1311c8657781
1483c260252
154b7486585
hex2d8061d70

12214214000 has 160 divisors (see below), whose sum is σ = 30146463360. Its totient is φ = 4785408000.

The previous prime is 12214213987. The next prime is 12214214053. The reversal of 12214214000 is 41241221.

It is a self number, because there is not a number n which added to its sum of digits gives 12214214000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39273845 + ... + 39274155.

It is an arithmetic number, because the mean of its divisors is an integer number (188415396).

Almost surely, 212214214000 is an apocalyptic number.

12214214000 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 12214214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15073231680).

12214214000 is an abundant number, since it is smaller than the sum of its proper divisors (17932249360).

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

12214214000 is a wasteful number, since it uses less digits than its factorization.

12214214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12214214000 its reverse (41241221), we get a palindrome (12255455221).

The spelling of 12214214000 in words is "twelve billion, two hundred fourteen million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 269 292 311 365 400 500 538 584 622 730 1000 1076 1168 1244 1345 1460 1555 1825 2000 2152 2488 2690 2920 3110 3650 4304 4976 5380 5840 6220 6725 7300 7775 9125 10760 12440 13450 14600 15550 18250 19637 21520 22703 24880 26900 29200 31100 33625 36500 38875 39274 45406 53800 62200 67250 73000 77750 78548 83659 90812 98185 107600 113515 124400 134500 146000 155500 157096 167318 181624 196370 227030 269000 311000 314192 334636 363248 392740 418295 454060 490925 538000 567575 622000 669272 785480 836590 908120 981850 1135150 1338544 1570960 1673180 1816240 1963700 2091475 2270300 2454625 2837875 3346360 3927400 4182950 4540600 4909250 5675750 6107107 6692720 7854800 8365900 9081200 9818500 10457375 11351500 12214214 16731800 19637000 20914750 22703000 24428428 30535535 33463600 39274000 41829500 45406000 48856856 61071070 83659000 97713712 122142140 152677675 167318000 244284280 305355350 488568560 610710700 763388375 1221421400 1526776750 2442842800 3053553500 6107107000 12214214000