Search a number
-
+
122223312012 = 22323442838087
BaseRepresentation
bin111000111010100010…
…0111011110010001100
3102200110221201120012210
41301311010323302030
54000303131441022
6132052033430420
711554544003424
oct1616504736214
9380427646183
10122223312012
114791a96736a
121b83040b410
13b6aa9bb7c9
145cb6731484
1532a5279a0c
hex1c7513bc8c

122223312012 has 24 divisors (see below), whose sum is σ = 297587195136. Its totient is φ = 38969751568.

The previous prime is 122223311983. The next prime is 122223312019. The reversal of 122223312012 is 210213322221.

122223312012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 122223312012.

It is not an unprimeable number, because it can be changed into a prime (122223312019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221418768 + ... + 221419319.

It is an arithmetic number, because the mean of its divisors is an integer number (12399466464).

Almost surely, 2122223312012 is an apocalyptic number.

122223312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122223312012 is an abundant number, since it is smaller than the sum of its proper divisors (175363883124).

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

122223312012 is a wasteful number, since it uses less digits than its factorization.

122223312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442838117 (or 442838115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122223312012 its reverse (210213322221), we get a palindrome (332436634233).

The spelling of 122223312012 in words is "one hundred twenty-two billion, two hundred twenty-three million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 442838087 885676174 1328514261 1771352348 2657028522 5314057044 10185276001 20370552002 30555828003 40741104004 61111656006 122223312012