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12001133120 = 26537503541
BaseRepresentation
bin10110010110101001…
…01100001001000000
31010222101020201200212
423023110230021000
5144034242224440
65302505533252
7603253643204
oct131324541100
933871221625
1012001133120
1150a9365a39
1223ab1a4228
131193470502
1481bc34b04
154a38e6465
hex2cb52c240

12001133120 has 28 divisors (see below), whose sum is σ = 28577699004. Its totient is φ = 4800453120.

The previous prime is 12001133101. The next prime is 12001133129. The reversal of 12001133120 is 2133110021.

It can be written as a sum of positive squares in 2 ways, for example, as 1561198144 + 10439934976 = 39512^2 + 102176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12001133095 and 12001133104.

It is not an unprimeable number, because it can be changed into a prime (12001133129) 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 3 ways as a sum of consecutive naturals, for example, 18751451 + ... + 18752090.

Almost surely, 212001133120 is an apocalyptic number.

12001133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001133120 is an abundant number, since it is smaller than the sum of its proper divisors (16576565884).

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

12001133120 is an equidigital number, since it uses as much as digits as its factorization.

12001133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37503558 (or 37503548 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12001133120 its reverse (2133110021), we get a palindrome (14134243141).

The spelling of 12001133120 in words is "twelve billion, one million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 37503541 75007082 150014164 187517705 300028328 375035410 600056656 750070820 1200113312 1500141640 2400226624 3000283280 6000566560 12001133120