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12000062720 = 2859375049
BaseRepresentation
bin10110010110100001…
…00110110100000000
31010222022020100101102
423023100212310000
5144034004001340
65302430553532
7603241564412
oct131320466400
933868210342
1012000062720
1150a87a4808
1223aa9688a8
131193187239
1481ba369b2
154a3784215
hex2cb426d00

12000062720 has 36 divisors (see below), whose sum is σ = 28743903300. Its totient is φ = 4800024576.

The previous prime is 12000062713. The next prime is 12000062729. The reversal of 12000062720 is 2726000021.

It can be written as a sum of positive squares in 2 ways, for example, as 9255979264 + 2744083456 = 96208^2 + 52384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12000062692 and 12000062701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000062729) 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, 4686245 + ... + 4688804.

Almost surely, 212000062720 is an apocalyptic number.

12000062720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000062720 is an abundant number, since it is smaller than the sum of its proper divisors (16743840580).

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

12000062720 is an frugal number, since it uses more digits than its factorization.

12000062720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9375070 (or 9375056 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 12000062720 its reverse (2726000021), we get a palindrome (14726062741).

The spelling of 12000062720 in words is "twelve billion, sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 9375049 18750098 37500196 46875245 75000392 93750490 150000784 187500980 300001568 375001960 600003136 750003920 1200006272 1500007840 2400012544 3000015680 6000031360 12000062720