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12101321020032 = 27333501539647
BaseRepresentation
bin1011000000011000111011…
…1100001101001010000000
31120211212121212110012212000
42300012032330031022000
53041232001140120112
641423134203104000
72356202005326246
oct260061674151200
946755555405760
1012101321020032
1139461612648a2
121435397b12000
1369a1c3ab6a8a
142db9c8272796
1515ebb30ed7dc
hexb018ef0d280

12101321020032 has 64 divisors (see below), whose sum is σ = 35715704409600. Its totient is φ = 4033773672192.

The previous prime is 12101321020003. The next prime is 12101321020037. The reversal of 12101321020032 is 23002012310121.

12101321020032 is a `hidden beast` number, since 1 + 210 + 13 + 210 + 200 + 32 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12101321019987 and 12101321020014.

It is not an unprimeable number, because it can be changed into a prime (12101321020037) 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 7 ways as a sum of consecutive naturals, for example, 1750766368 + ... + 1750773279.

It is an arithmetic number, because the mean of its divisors is an integer number (558057881400).

Almost surely, 212101321020032 is an apocalyptic number.

12101321020032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101321020032 is an abundant number, since it is smaller than the sum of its proper divisors (23614383389568).

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

12101321020032 is an equidigital number, since it uses as much as digits as its factorization.

12101321020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501539670 (or 3501539652 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12101321020032 its reverse (23002012310121), we get a palindrome (35103333330153).

The spelling of 12101321020032 in words is "twelve trillion, one hundred one billion, three hundred twenty-one million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 3501539647 7003079294 10504618941 14006158588 21009237882 28012317176 31513856823 42018475764 56024634352 63027713646 84036951528 94541570469 112049268704 126055427292 168073903056 189083140938 224098537408 252110854584 336147806112 378166281876 448197074816 504221709168 672295612224 756332563752 1008443418336 1344591224448 1512665127504 2016886836672 3025330255008 4033773673344 6050660510016 12101321020032