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12122011000200 = 23352171188432451
BaseRepresentation
bin1011000001100110000000…
…1010001101110110001000
31120220212000210022002221210
42300121200022031312020
53042101334304001300
641440435221133120
72360533506263163
oct260314012156610
946825023262853
1012122011000200
113953a0920a162
1214393b0b5a1a0
1369c1404031aa
142dc9cc044ada
151604c470d050
hexb066028dd88

12122011000200 has 96 divisors (see below), whose sum is σ = 39788718492960. Its totient is φ = 3042387072000.

The previous prime is 12122011000153. The next prime is 12122011000219. The reversal of 12122011000200 is 200011022121.

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

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 23 ways as a sum of consecutive naturals, for example, 594206026 + ... + 594226425.

It is an arithmetic number, because the mean of its divisors is an integer number (414465817635).

Almost surely, 212122011000200 is an apocalyptic number.

12122011000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122011000200 is an abundant number, since it is smaller than the sum of its proper divisors (27666707492760).

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

12122011000200 is a wasteful number, since it uses less digits than its factorization.

12122011000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188432487 (or 1188432478 counting only the distinct ones).

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

Adding to 12122011000200 its reverse (200011022121), we get a palindrome (12322022022321).

The spelling of 12122011000200 in words is "twelve trillion, one hundred twenty-two billion, eleven million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 1188432451 2376864902 3565297353 4753729804 5942162255 7130594706 9507459608 11884324510 14261189412 17826486765 20203351667 23768649020 28522378824 29710811275 35652973530 40406703334 47537298040 59421622550 60610055001 71305947060 80813406668 89132433825 101016758335 118843245100 121220110002 142611894120 161626813336 178264867650 202033516670 237686490200 242440220004 303050275005 356529735300 404067033340 484880440008 505083791675 606100550010 713059470600 808134066680 1010167583350 1212201100020 1515251375025 2020335166700 2424402200040 3030502750050 4040670333400 6061005500100 12122011000200