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122022000012100 = 225211711447720133
BaseRepresentation
bin11011101111101001110101…
…111101110010101101000100
3121000001012002222112021222111
4123233221311331302231010
5111443202024000341400
61111304044414310404
734462540624541206
oct3357516575625504
9530035088467874
10122022000012100
113597526a999781
1211828820ab8404
135311818818686
14221bc796a4776
15e19113c653ba
hex6efa75f72b44

122022000012100 has 72 divisors (see below), whose sum is σ = 265197376434368. Its totient is φ = 48733348809600.

The previous prime is 122022000012091. The next prime is 122022000012139. The reversal of 122022000012100 is 1210000220221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169083634 + ... + 169803766.

Almost surely, 2122022000012100 is an apocalyptic number.

122022000012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022000012100 is an abundant number, since it is smaller than the sum of its proper divisors (143175376422268).

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

122022000012100 is a wasteful number, since it uses less digits than its factorization.

122022000012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722765 (or 722758 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122022000012100 its reverse (1210000220221), we get a palindrome (123232000232321).

The spelling of 122022000012100 in words is "one hundred twenty-two trillion, twenty-two billion, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1171 1447 2342 2894 4684 5788 5855 7235 11710 14470 23420 28940 29275 36175 58550 72350 117100 144700 720133 1440266 1694437 2880532 3388874 3600665 6777748 7201330 8472185 14402660 16944370 18003325 33888740 36006650 42360925 72013300 84721850 169443700 843275743 1042032451 1686551486 2084064902 3373102972 4168129804 4216378715 5210162255 8432757430 10420324510 16865514860 20840649020 21081893575 26050811275 42163787150 52101622550 84327574300 104203245100 1220220000121 2440440000242 4880880000484 6101100000605 12202200001210 24404400002420 30505500003025 61011000006050 122022000012100