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12233322012033 = 3210959321029101
BaseRepresentation
bin1011001000000100101011…
…0100000001110110000001
31121022111100020121101110200
42302001022310001312001
53100412320413341113
642003524402315413
72401554060256443
oct262011264016601
947274306541420
1012233322012033
113997139398921
121456a96958b69
136a979c3c2335
1430414b3b4493
1516333b96d873
hexb204ad01d81

12233322012033 has 24 divisors (see below), whose sum is σ = 17862539820840. Its totient is φ = 8067099225600.

The previous prime is 12233322011947. The next prime is 12233322012071. The reversal of 12233322012033 is 33021022333221.

12233322012033 is a `hidden beast` number, since 1 + 2 + 233 + 3 + 220 + 1 + 203 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1363983402609 + 10869338609424 = 1167897^2 + 3296868^2 .

It is not a de Polignac number, because 12233322012033 - 237 = 12095883058561 is a prime.

It is a super-2 number, since 2×122333220120332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12233322011988 and 12233322012006.

It is not an unprimeable number, because it can be changed into a prime (12233322010033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9932818 + ... + 11096283.

It is an arithmetic number, because the mean of its divisors is an integer number (744272492535).

Almost surely, 212233322012033 is an apocalyptic number.

It is an amenable number.

12233322012033 is a deficient number, since it is larger than the sum of its proper divisors (5629217808807).

12233322012033 is a wasteful number, since it uses less digits than its factorization.

12233322012033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21029809 (or 21029806 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12233322012033 its reverse (33021022333221), we get a palindrome (45254344345254).

The spelling of 12233322012033 in words is "twelve trillion, two hundred thirty-three billion, three hundred twenty-two million, twelve thousand, thirty-three".

Divisors: 1 3 9 109 327 593 981 1779 5337 64637 193911 581733 21029101 63087303 189261909 2292172009 6876516027 12470256893 20629548081 37410770679 112232312037 1359258001337 4077774004011 12233322012033