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122100200200 = 235211471180853
BaseRepresentation
bin111000110110110111…
…1010011001100001000
3102200011101001211120001
41301231233103030020
54000030122401300
6132031515012344
711551520402026
oct1615557231410
9380141054501
10122100200200
114786741a670
121b7b713a0b4
13b68b345394
145ca4245716
15329955c16a
hex1c6dbd3308

122100200200 has 96 divisors (see below), whose sum is σ = 316279935360. Its totient is φ = 43455353600.

The previous prime is 122100200171. The next prime is 122100200249. The reversal of 122100200200 is 2002001221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487027 + ... + 693826.

It is an arithmetic number, because the mean of its divisors is an integer number (3294582660).

Almost surely, 2122100200200 is an apocalyptic number.

122100200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100200200 is an abundant number, since it is smaller than the sum of its proper divisors (194179735160).

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

122100200200 is a wasteful number, since it uses less digits than its factorization.

122100200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180927 (or 1180918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122100200200 its reverse (2002001221), we get a palindrome (124102201421).

The spelling of 122100200200 in words is "one hundred twenty-two billion, one hundred million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 9400 10340 12925 20680 25850 51700 103400 1180853 2361706 4723412 5904265 9446824 11808530 12989383 23617060 25978766 29521325 47234120 51957532 55500091 59042650 64946915 103915064 111000182 118085300 129893830 222000364 236170600 259787660 277500455 324734575 444000728 519575320 555000910 610501001 649469150 1110001820 1221002002 1298938300 1387502275 2220003640 2442004004 2597876600 2775004550 3052505005 4884008008 5550009100 6105010010 11100018200 12210020020 15262525025 24420040040 30525050050 61050100100 122100200200