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122012200010 = 25593174631409
BaseRepresentation
bin111000110100001111…
…1100110110001001010
3102122221020110221222202
41301220133212301022
53444340110400020
6132015052520202
711546401405511
oct1615037466112
9378836427882
10122012200010
1147821784838
121b791780062
13b67604376c
145c96699678
153291977e75
hex1c687e6c4a

122012200010 has 64 divisors (see below), whose sum is σ = 224692185600. Its totient is φ = 47689162752.

The previous prime is 122012200001. The next prime is 122012200019. The reversal of 122012200010 is 10002210221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122012200001) and next prime (122012200019).

It is a junction number, because it is equal to n+sod(n) for n = 122012199964 and 122012200000.

It is not an unprimeable number, because it can be changed into a prime (122012200019) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 86594186 + ... + 86595594.

It is an arithmetic number, because the mean of its divisors is an integer number (3510815400).

Almost surely, 2122012200010 is an apocalyptic number.

122012200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122012200010 is a deficient number, since it is larger than the sum of its proper divisors (102679985590).

122012200010 is a wasteful number, since it uses less digits than its factorization.

122012200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122012200010 its reverse (10002210221), we get a palindrome (132014410231).

The spelling of 122012200010 in words is "one hundred twenty-two billion, twelve million, two hundred thousand, ten".

Divisors: 1 2 5 10 59 118 295 317 463 590 634 926 1409 1585 2315 2818 3170 4630 7045 14090 18703 27317 37406 54634 83131 93515 136585 146771 166262 187030 273170 293542 415655 446653 652367 733855 831310 893306 1304734 1467710 2233265 3261835 4466530 6523670 8659489 17318978 26352527 38489653 43297445 52705054 76979306 86594890 131762635 192448265 206800339 263525270 384896530 413600678 1034001695 2068003390 12201220001 24402440002 61006100005 122012200010