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20120003332320 = 253543974806363
BaseRepresentation
bin1001001001100100011011…
…01001101100100011100000
32122020110020121220102020110
410210302031221230203200
510114121231323113240
6110443000230011320
74144423303353333
oct444621551544340
978213217812213
1020120003332320
116457933398841
12230b4844a6b40
13b2c401096a98
144d7b55bd061a
1524d57a298c80
hex124c8da6c8e0

20120003332320 has 96 divisors (see below), whose sum is σ = 64851917784192. Its totient is φ = 5240559002112.

The previous prime is 20120003332291. The next prime is 20120003332321. The reversal of 20120003332320 is 2323330002102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120003332321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487382542 + ... + 487423821.

It is an arithmetic number, because the mean of its divisors is an integer number (675540810252).

Almost surely, 220120003332320 is an apocalyptic number.

20120003332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120003332320 is an abundant number, since it is smaller than the sum of its proper divisors (44731914451872).

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

20120003332320 is a wasteful number, since it uses less digits than its factorization.

20120003332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974806424 (or 974806416 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20120003332320 its reverse (2323330002102), we get a palindrome (22443333334422).

The spelling of 20120003332320 in words is "twenty trillion, one hundred twenty billion, three million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 974806363 1949612726 2924419089 3899225452 4874031815 5848838178 7798450904 9748063630 11697676356 14622095445 15596901808 19496127260 23395352712 29244190890 31193803616 38992254520 41916673609 46790705424 58488381780 77984509040 83833347218 93581410848 116976763560 125750020827 155969018080 167666694436 209583368045 233953527120 251500041654 335333388872 419166736090 467907054240 503000083308 628750104135 670666777744 838333472180 1006000166616 1257500208270 1341333555488 1676666944360 2012000333232 2515000416540 3353333888720 4024000666464 5030000833080 6706667777440 10060001666160 20120003332320