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122121112122 = 232596710116993
BaseRepresentation
bin111000110111011111…
…1000100101000111010
3102200012211102021022200
41301232333010220322
54000101001041442
6132033543131030
711552163216522
oct1615677045072
9380184367280
10122121112122
1147878203049
121b802143a76
13b6927878b9
145ca6d2a682
15329b2dd34c
hex1c6efc4a3a

122121112122 has 96 divisors (see below), whose sum is σ = 275816698560. Its totient is φ = 39027225600.

The previous prime is 122121112121. The next prime is 122121112159. The reversal of 122121112122 is 221211121221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122121112095 and 122121112104.

It is not an unprimeable number, because it can be changed into a prime (122121112121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7178058 + ... + 7195050.

It is an arithmetic number, because the mean of its divisors is an integer number (2873090610).

Almost surely, 2122121112122 is an apocalyptic number.

122121112122 is an abundant number, since it is smaller than the sum of its proper divisors (153695586438).

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

122121112122 is a wasteful number, since it uses less digits than its factorization.

122121112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17228 (or 17225 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 122121112122 its reverse (221211121221), we get a palindrome (343332233343).

Subtracting 122121112122 from its reverse (221211121221), we obtain a palindrome (99090009099).

The spelling of 122121112122 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 59 67 101 118 134 177 201 202 303 354 402 531 603 606 909 1062 1206 1818 3953 5959 6767 7906 11859 11918 13534 16993 17877 20301 23718 33986 35577 35754 40602 50979 53631 60903 71154 101958 107262 121806 152937 305874 399253 798506 1002587 1138531 1197759 1716293 2005174 2277062 2395518 3007761 3415593 3432586 3593277 5148879 6015522 6831186 7186554 9023283 10246779 10297758 15446637 18046566 20493558 30893274 67173329 101261287 114991631 134346658 201519987 202522574 229983262 303783861 344974893 403039974 604559961 607567722 689949786 911351583 1034924679 1209119922 1822703166 2069849358 6784506229 13569012458 20353518687 40707037374 61060556061 122121112122