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12102202220200 = 2352947502312721
BaseRepresentation
bin1011000000011100001101…
…1101101101111010101000
31120211221220021120211020021
42300013003131231322220
53041240302232021300
641423401442210224
72356232565365041
oct260070335557250
946757807524207
1012102202220200
1139465737165a4
1214355a3053974
1369a30452a3b1
142dba6d2d78c8
1515ec15664d1a
hexb01c376dea8

12102202220200 has 96 divisors (see below), whose sum is σ = 28175154888960. Its totient is φ = 4834426291200.

The previous prime is 12102202220123. The next prime is 12102202220219. The reversal of 12102202220200 is 202220220121.

12102202220200 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 2×121022022202002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951349840 + ... + 951362560.

It is an arithmetic number, because the mean of its divisors is an integer number (293491196760).

Almost surely, 212102202220200 is an apocalyptic number.

12102202220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102202220200 is an abundant number, since it is smaller than the sum of its proper divisors (16072952668760).

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

12102202220200 is a wasteful number, since it uses less digits than its factorization.

12102202220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18707 (or 18698 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12102202220200 its reverse (202220220121), we get a palindrome (12304422440321).

The spelling of 12102202220200 in words is "twelve trillion, one hundred two billion, two hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 947 1894 3788 4735 5023 7576 9470 10046 12721 18940 20092 23675 25115 25442 37880 40184 47350 50230 50884 63605 94700 100460 101768 125575 127210 189400 200920 251150 254420 318025 502300 508840 636050 1004600 1272100 2544200 4756781 9513562 12046787 19027124 23783905 24093574 38054248 47567810 48187148 60233935 63897583 95135620 96374296 118919525 120467870 127795166 190271240 237839050 240935740 255590332 301169675 319487915 475678100 481871480 511180664 602339350 638975830 951356200 1204678700 1277951660 1597439575 2409357400 2555903320 3194879150 6389758300 12779516600 60511011101 121022022202 242044044404 302555055505 484088088808 605110111010 1210220222020 1512775277525 2420440444040 3025550555050 6051101110100 12102202220200