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122212221021 = 3211192318115607
BaseRepresentation
bin111000111010001101…
…0101000000001011101
3102200110011212002020100
41301310122220001131
54000242312033041
6132051000011313
711554350511242
oct1616432500135
9380404762210
10122212221021
1147914681560
121b828760b39
13b6a86074a7
145cb50855c9
1532a42d86b6
hex1c746a805d

122212221021 has 96 divisors (see below), whose sum is σ = 212708321280. Its totient is φ = 66743740800.

The previous prime is 122212220989. The next prime is 122212221049. The reversal of 122212221021 is 120122212221.

It is a happy number.

It is not a de Polignac number, because 122212221021 - 25 = 122212220989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122212220985 and 122212221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212221721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7822800 + ... + 7838406.

It is an arithmetic number, because the mean of its divisors is an integer number (2215711680).

Almost surely, 2122212221021 is an apocalyptic number.

122212221021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122212221021 is a deficient number, since it is larger than the sum of its proper divisors (90496100259).

122212221021 is a wasteful number, since it uses less digits than its factorization.

122212221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847 (or 15844 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122212221021 its reverse (120122212221), we get a palindrome (242334433242).

The spelling of 122212221021 in words is "one hundred twenty-two billion, two hundred twelve million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 11 19 23 33 57 69 99 171 181 207 209 253 437 543 627 759 1311 1629 1881 1991 2277 3439 3933 4163 4807 5973 10317 12489 14421 15607 17919 30951 37467 37829 43263 45793 46821 79097 113487 137379 140463 171677 237291 296533 340461 358961 412137 515031 711873 870067 889599 1076883 1545093 2610201 2668797 2824867 3230649 3261863 3948571 6820259 7830603 8474601 9785589 11845713 20460777 25423803 29356767 31073537 35537139 53672473 61382331 64971941 75022849 93220611 161017419 194915823 225068547 279661833 483052257 584747469 590397203 675205641 714691351 1234466879 1771191609 2144074053 3703400637 5313574827 6432222159 11110201911 13579135669 40737407007 122212221021