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12000524224 = 2613107163827
BaseRepresentation
bin10110010110100100…
…10111011111000000
31010222100002210110011
423023102113133000
5144034113233344
65302444514304
7603245526043
oct131322273700
933870083404
1012000524224
1150a8a8a517
1223aab4b994
1311932b9310
1481bb16c5a
154a3825d34
hex2cb4977c0

12000524224 has 112 divisors (see below), whose sum is σ = 26075323008. Its totient is φ = 5446683648.

The previous prime is 12000524209. The next prime is 12000524227. The reversal of 12000524224 is 42242500021.

12000524224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12000524195 and 12000524204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000524227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14510499 + ... + 14511325.

It is an arithmetic number, because the mean of its divisors is an integer number (232815384).

Almost surely, 212000524224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000524224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13037661504).

12000524224 is an abundant number, since it is smaller than the sum of its proper divisors (14074798784).

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

12000524224 is a wasteful number, since it uses less digits than its factorization.

12000524224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The spelling of 12000524224 in words is "twelve billion, five hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 163 208 214 326 416 428 652 827 832 856 1304 1391 1654 1712 2119 2608 2782 3308 3424 4238 5216 5564 6616 6848 8476 10432 10751 11128 13232 16952 17441 21502 22256 26464 33904 34882 43004 44512 52928 67808 69764 86008 88489 89024 134801 135616 139528 172016 176978 226733 269602 279056 344032 353956 453466 539204 558112 688064 707912 906932 1078408 1116224 1150357 1415824 1752413 1813864 2156816 2300714 2831648 3504826 3627728 4313632 4601428 5663296 7009652 7255456 8627264 9202856 14019304 14423707 14510912 18405712 28038608 28847414 36811424 56077216 57694828 73622848 112154432 115389656 187508191 230779312 375016382 461558624 750032764 923117248 1500065528 3000131056 6000262112 12000524224