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122102202102122 = 211371911709151
BaseRepresentation
bin11011110000110100100010…
…011000011111000101101010
3121000022212010101220121101002
4123300310202120133011222
5112001010302214231442
61111404551031355002
734501410252213434
oct3360644230370552
9530285111817332
10122102202102122
11359a6286986000
1211840284522a62
13531925a789b88
142221ac7207654
15e1b259d52732
hex6f0d2261f16a

122102202102122 has 64 divisors (see below), whose sum is σ = 204516804427776. Its totient is φ = 54659154550000.

The previous prime is 122102202102121. The next prime is 122102202102197. The reversal of 122102202102122 is 221201202201221.

It is a junction number, because it is equal to n+sod(n) for n = 122102202102094 and 122102202102103.

It is not an unprimeable number, because it can be changed into a prime (122102202102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171826247 + ... + 172535397.

It is an arithmetic number, because the mean of its divisors is an integer number (3195575069184).

Almost surely, 2122102202102122 is an apocalyptic number.

122102202102122 is a deficient number, since it is larger than the sum of its proper divisors (82414602325654).

122102202102122 is an equidigital number, since it uses as much as digits as its factorization.

122102202102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710168 (or 710146 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122102202102122 its reverse (221201202201221), we get a palindrome (343303404303343).

Subtracting 122102202102122 from its reverse (221201202201221), we obtain a palindrome (99099000099099).

The spelling of 122102202102122 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred two million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 11 22 71 121 142 242 781 911 1331 1562 1822 2662 8591 10021 17182 20042 64681 94501 110231 129362 189002 220462 709151 711491 1212541 1418302 1422982 2425082 7800661 7826401 15601322 15652802 50349721 85807271 86090411 100699442 171614542 172180822 553846931 646036561 943879981 1107693862 1292073122 1887759962 6092316241 7106402171 12184632482 14212804342 45868595831 67015478651 78170423881 91737191662 134030957302 156340847762 504554554141 859874662691 1009109108282 1719749325382 5550100095551 11100200191102 61051101051061 122102202102122