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12123121320 = 2332533675337
BaseRepresentation
bin10110100101001100…
…00010011010101000
31011021212210101001100
423102212002122220
5144312004340240
65322544321400
7606264555012
oct132246023250
934255711040
1012123121320
115161205532
122424013260
1311b281238b
1483010b1b2
154ae490e30
hex2d29826a8

12123121320 has 48 divisors (see below), whose sum is σ = 39400145460. Its totient is φ = 3232832256.

The previous prime is 12123121319. The next prime is 12123121331. The reversal of 12123121320 is 2312132121.

It can be written as a sum of positive squares in 2 ways, for example, as 12099560004 + 23561316 = 109998^2 + 4854^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12123121293 and 12123121302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16837309 + ... + 16838028.

Almost surely, 212123121320 is an apocalyptic number.

12123121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123121320 is an abundant number, since it is smaller than the sum of its proper divisors (27277024140).

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

12123121320 is a wasteful number, since it uses less digits than its factorization.

12123121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33675354 (or 33675347 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12123121320 its reverse (2312132121), we get a palindrome (14435253441).

The spelling of 12123121320 in words is "twelve billion, one hundred twenty-three million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33675337 67350674 101026011 134701348 168376685 202052022 269402696 303078033 336753370 404104044 505130055 606156066 673506740 808208088 1010260110 1212312132 1347013480 1515390165 2020520220 2424624264 3030780330 4041040440 6061560660 12123121320