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12122101200 = 2435211918341
BaseRepresentation
bin10110100101000100…
…01001010111010000
31011021210212112201010
423102202021113100
5144311224214300
65322510410520
7606253105626
oct132242112720
934253775633
1012122101200
115160679060
122423800a40
1311b2545c61
1482dd23516
154ae33da50
hex2d28895d0

12122101200 has 120 divisors (see below), whose sum is σ = 42361279776. Its totient is φ = 2938688000.

The previous prime is 12122101153. The next prime is 12122101219. The reversal of 12122101200 is 210122121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 445971 + ... + 472370.

Almost surely, 212122101200 is an apocalyptic number.

12122101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122101200 is an abundant number, since it is smaller than the sum of its proper divisors (30239178576).

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

12122101200 is a wasteful number, since it uses less digits than its factorization.

12122101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918373 (or 918362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12122101200 its reverse (210122121), we get a palindrome (12332223321).

The spelling of 12122101200 in words is "twelve billion, one hundred twenty-two million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 918341 1836682 2755023 3673364 4591705 5510046 7346728 9183410 10101751 11020092 13775115 14693456 18366820 20203502 22040184 22958525 27550230 30305253 36733640 40407004 44080368 45917050 50508755 55100460 60610506 68875575 73467280 80814008 91834100 101017510 110200920 121221012 137751150 151526265 161628016 183668200 202035020 220401840 242442024 252543775 275502300 303052530 367336400 404070040 484884048 505087550 551004600 606105060 757631325 808140080 1010175100 1102009200 1212210120 1515262650 2020350200 2424420240 3030525300 4040700400 6061050600 12122101200