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12013224576 = 273231360193
BaseRepresentation
bin10110011000000101…
…10100001010000000
31011000020000001001120
423030002310022000
5144100341141301
65304021032240
7603461503233
oct131402641200
934006001046
1012013224576
115105174481
1223b3255680
131195b15012
1481d6a141a
154a49d3e36
hex2cc0b4280

12013224576 has 64 divisors (see below), whose sum is σ = 33297549120. Its totient is φ = 3830300672.

The previous prime is 12013224571. The next prime is 12013224611. The reversal of 12013224576 is 67542231021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12013224571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671265 + ... + 688928.

It is an arithmetic number, because the mean of its divisors is an integer number (520274205).

Almost surely, 212013224576 is an apocalyptic number.

12013224576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12013224576 is an abundant number, since it is smaller than the sum of its proper divisors (21284324544).

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

12013224576 is a wasteful number, since it uses less digits than its factorization.

12013224576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360233 (or 1360221 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 12013224576 its reverse (67542231021), we get a palindrome (79555455597).

The spelling of 12013224576 in words is "twelve billion, thirteen million, two hundred twenty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 1360193 2720386 4080579 5440772 8161158 10881544 16322316 21763088 31284439 32644632 43526176 62568878 65289264 87052352 93853317 125137756 130578528 174104704 187706634 250275512 261157056 375413268 500551024 522314112 750826536 1001102048 1501653072 2002204096 3003306144 4004408192 6006612288 12013224576