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12123314440 = 2351656118301
BaseRepresentation
bin10110100101001101…
…10001100100001000
31011021220011011221221
423102212301210020
5144312032030230
65322552411424
7606266321026
oct132246614410
934256134857
1012123314440
115161327636
1224240a6b74
1311b287c253
1483015b716
154ae4cd27a
hex2d29b1908

12123314440 has 32 divisors (see below), whose sum is σ = 27280595160. Its totient is φ = 4848768000.

The previous prime is 12123314419. The next prime is 12123314443. The reversal of 12123314440 is 4441332121.

It can be written as a sum of positive squares in 4 ways, for example, as 2623693284 + 9499621156 = 51222^2 + 97466^2 .

It is a super-2 number, since 2×121233144402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12123314443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653290 + ... + 671590.

Almost surely, 212123314440 is an apocalyptic number.

12123314440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123314440 is an abundant number, since it is smaller than the sum of its proper divisors (15157280720).

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

12123314440 is a wasteful number, since it uses less digits than its factorization.

12123314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34873 (or 34869 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 12123314440 its reverse (4441332121), we get a palindrome (16564646561).

The spelling of 12123314440 in words is "twelve billion, one hundred twenty-three million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 16561 18301 33122 36602 66244 73204 82805 91505 132488 146408 165610 183010 331220 366020 662440 732040 303082861 606165722 1212331444 1515414305 2424662888 3030828610 6061657220 12123314440