Search a number
-
+
12233214331121 = 72249657435329
BaseRepresentation
bin1011001000000100010001…
…1001010000100011110001
31121022111001201222122000202
42302001010121100203301
53100412110332043441
642003505554324545
72401551312064100
oct262010431204361
947274051878022
1012233214331121
113997093630633
121456a66889755
136a9782cbc714
1430413ad84037
1516333229d19b
hexb20446508f1

12233214331121 has 6 divisors (see below), whose sum is σ = 14230473813810. Its totient is φ = 10485612283776.

The previous prime is 12233214331097. The next prime is 12233214331141. The reversal of 12233214331121 is 12113341233221.

It can be written as a sum of positive squares in only one way, i.e., 7403487274225 + 4829727056896 = 2720935^2 + 2197664^2 .

It is not a de Polignac number, because 12233214331121 - 230 = 12232140589297 is a prime.

It is a super-2 number, since 2×122332143311212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12233214331141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124828717616 + ... + 124828717713.

It is an arithmetic number, because the mean of its divisors is an integer number (2371745635635).

Almost surely, 212233214331121 is an apocalyptic number.

It is an amenable number.

12233214331121 is a deficient number, since it is larger than the sum of its proper divisors (1997259482689).

12233214331121 is an equidigital number, since it uses as much as digits as its factorization.

12233214331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249657435343 (or 249657435336 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

Adding to 12233214331121 its reverse (12113341233221), we get a palindrome (24346555564342).

The spelling of 12233214331121 in words is "twelve trillion, two hundred thirty-three billion, two hundred fourteen million, three hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 7 49 249657435329 1747602047303 12233214331121