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122212220220101 = 1147894253624509
BaseRepresentation
bin11011110010011010111111…
…111110010011001011000101
3121000201101002202102001221102
4123302122333332103023011
5112004311111334020401
61111531304025425445
734512353513614124
oct3362327776231305
9530641082361842
10122212220220101
1135a38a03280450
121185966933b285
13532674195b67b
142227162985abb
15e1e04882856b
hex6f26bff932c5

122212220220101 has 32 divisors (see below), whose sum is σ = 137721541593600. Its totient is φ = 107490916487680.

The previous prime is 122212220219987. The next prime is 122212220220133. The reversal of 122212220220101 is 101022022212221.

It is not a de Polignac number, because 122212220220101 - 222 = 122212216025797 is a prime.

It is a super-2 number, since 2×1222122202201012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212220222101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 195381035 + ... + 196005543.

It is an arithmetic number, because the mean of its divisors is an integer number (4303798174800).

Almost surely, 2122212220220101 is an apocalyptic number.

122212220220101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122212220220101 is a deficient number, since it is larger than the sum of its proper divisors (15509321373499).

122212220220101 is a wasteful number, since it uses less digits than its factorization.

122212220220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628909.

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

Adding to 122212220220101 its reverse (101022022212221), we get a palindrome (223234242432322).

The spelling of 122212220220101 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred twenty million, two hundred twenty thousand, one hundred one".

Divisors: 1 11 47 89 517 979 4183 4253 46013 46783 199891 378517 624509 2198801 4163687 6869599 17790299 29351923 55581301 195693289 322871153 611394311 2612321147 2656036777 28735532617 29216404547 124833728519 236387273153 1373171013709 2600260004683 11110201838191 122212220220101