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12121121332233 = 3231178324366169
BaseRepresentation
bin1011000001100010101100…
…1000011001110000001001
31120220202201210020021221100
42300120223020121300021
53042043024030112413
641440211040332013
72360502454236054
oct260305310316011
946822653207840
1012121121332233
1139535a1aa4481
1214391a3014009
1369c02acb6544
142dc945c17a9b
15160471572a73
hexb062b219c09

12121121332233 has 24 divisors (see below), whose sum is σ = 18083206868480. Its totient is φ = 7815692047680.

The previous prime is 12121121332223. The next prime is 12121121332259. The reversal of 12121121332233 is 33223312112121.

12121121332233 is a `hidden beast` number, since 1 + 2 + 1 + 211 + 213 + 3 + 2 + 233 = 666.

It is not a de Polignac number, because 12121121332233 - 24 = 12121121332217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12121121332197 and 12121121332206.

It is not an unprimeable number, because it can be changed into a prime (12121121332223) 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 23 ways as a sum of consecutive naturals, for example, 11685628 + ... + 12680541.

Almost surely, 212121121332233 is an apocalyptic number.

It is an amenable number.

12121121332233 is a deficient number, since it is larger than the sum of its proper divisors (5962085536247).

12121121332233 is a wasteful number, since it uses less digits than its factorization.

12121121332233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24367989 (or 24367986 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 12121121332233 its reverse (33223312112121), we get a palindrome (45344433444354).

The spelling of 12121121332233 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-one million, three hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 31 93 279 1783 5349 16047 55273 165819 497457 24366169 73098507 219295521 755351239 2266053717 6798161151 43444879327 130334637981 391003913943 1346791259137 4040373777411 12121121332233