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122000012210010 = 235111998592162717
BaseRepresentation
bin11011101111010101010111…
…011000111110111101011010
3120222222002100121121012220010
4123233111113120332331122
5111442322011111210020
61111250010515342350
734461132014365014
oct3357252730767532
9528862317535803
10122000012210010
1135966a073a4610
12118245052b19b6
13530c7233777ac
14221ab913bb1b4
15e18778745de0
hex6ef55763ef5a

122000012210010 has 128 divisors (see below), whose sum is σ = 321397196544000. Its totient is φ = 29392867595520.

The previous prime is 122000012209979. The next prime is 122000012210077. The reversal of 122000012210010 is 10012210000221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55329172 + ... + 57491888.

It is an arithmetic number, because the mean of its divisors is an integer number (2510915598000).

Almost surely, 2122000012210010 is an apocalyptic number.

122000012210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122000012210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160698598272000).

122000012210010 is an abundant number, since it is smaller than the sum of its proper divisors (199397184333990).

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

122000012210010 is a wasteful number, since it uses less digits than its factorization.

122000012210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163796.

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

Adding to 122000012210010 its reverse (10012210000221), we get a palindrome (132012222210231).

The spelling of 122000012210010 in words is "one hundred twenty-two trillion, twelve million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 199 330 398 597 859 995 1194 1718 1990 2189 2577 2985 4295 4378 5154 5970 6567 8590 9449 10945 12885 13134 18898 21890 25770 28347 32835 47245 56694 65670 94490 141735 170941 283470 341882 512823 854705 1025646 1709410 1880351 2162717 2564115 3760702 4325434 5128230 5641053 6488151 9401755 10813585 11282106 12976302 18803510 21627170 23789887 28205265 32440755 47579774 56410530 64881510 71369661 118949435 142739322 237898870 356848305 430380683 713696610 860761366 1291142049 1857773903 2151903415 2582284098 3715547806 4303806830 4734187513 5573321709 6455710245 9288869515 9468375026 11146643418 12911420490 14202562539 18577739030 20435512933 23670937565 27866608545 28405125078 40871025866 47341875130 55733217090 61306538799 71012812695 102177564665 122613077598 142025625390 204355129330 306532693995 369697006697 613065387990 739394013394 1109091020091 1848485033485 2218182040182 3696970066970 4066667073667 5545455100455 8133334147334 11090910200910 12200001221001 20333335368335 24400002442002 40666670736670 61000006105005 122000012210010