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12243120520 = 2351740944021
BaseRepresentation
bin10110110011011111…
…10011000110001000
31011121020120222000011
423121233303012020
5200033214324040
65342512321304
7612252543631
oct133157630610
934536528004
1012243120520
115212a16724
122458243234
131201638b17
14842026888
154b9c963ea
hex2d9bf3188

12243120520 has 64 divisors (see below), whose sum is σ = 29239412400. Its totient is φ = 4597800960.

The previous prime is 12243120493. The next prime is 12243120523. The reversal of 12243120520 is 2502134221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9323447364 + 2919673156 = 96558^2 + 54034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12243120491 and 12243120500.

It is not an unprimeable number, because it can be changed into a prime (12243120523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256110 + ... + 300130.

Almost surely, 212243120520 is an apocalyptic number.

12243120520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12243120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619706200).

12243120520 is an abundant number, since it is smaller than the sum of its proper divisors (16996291880).

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

12243120520 is a wasteful number, since it uses less digits than its factorization.

12243120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44458 (or 44454 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 12243120520 its reverse (2502134221), we get a palindrome (14745254741).

The spelling of 12243120520 in words is "twelve billion, two hundred forty-three million, one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 409 680 818 1636 2045 3272 4090 6953 8180 13906 16360 27812 34765 44021 55624 69530 88042 139060 176084 220105 278120 352168 440210 748357 880420 1496714 1760840 2993428 3741785 5986856 7483570 14967140 18004589 29934280 36009178 72018356 90022945 144036712 180045890 306078013 360091780 612156026 720183560 1224312052 1530390065 2448624104 3060780130 6121560260 12243120520