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12123132225 = 3521716015939
BaseRepresentation
bin10110100101001100…
…00101000101000001
31011021212210221000020
423102212011011001
5144312010212400
65322544444053
7606264631551
oct132246050501
934255727006
1012123132225
115161212746
122424019629
1311b2817329
14830111161
154ae4942a0
hex2d2985141

12123132225 has 48 divisors (see below), whose sum is σ = 21239444160. Its totient is φ = 6080512000.

The previous prime is 12123132223. The next prime is 12123132289. The reversal of 12123132225 is 52223132121.

It is not a de Polignac number, because 12123132225 - 21 = 12123132223 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12123132195 and 12123132204.

It is not an unprimeable number, because it can be changed into a prime (12123132223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2038306 + ... + 2044244.

It is an arithmetic number, because the mean of its divisors is an integer number (442488420).

Almost surely, 212123132225 is an apocalyptic number.

12123132225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12123132225 is a deficient number, since it is larger than the sum of its proper divisors (9116311935).

12123132225 is a wasteful number, since it uses less digits than its factorization.

12123132225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7570 (or 7565 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

Adding to 12123132225 its reverse (52223132121), we get a palindrome (64346264346).

The spelling of 12123132225 in words is "twelve billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 255 425 1275 1601 4803 5939 8005 17817 24015 27217 29695 40025 81651 89085 100963 120075 136085 148475 302889 408255 445425 504815 680425 1514445 2041275 2524075 7572225 9508339 28525017 47541695 142625085 161641763 237708475 484925289 713125425 808208815 2424626445 4041044075 12123132225