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12330130111200 = 2533521151894487
BaseRepresentation
bin1011001101101101010100…
…0001100111101011100000
31121122202012222010100221000
42303123111001213223200
53104004101302024300
642120214504032000
72411552055446556
oct263332501475340
947582188110830
1012330130111200
113a241a7002650
1214717b3762600
136b595983a855
14308ad2557bd6
15165b05859c00
hexb36d5067ae0

12330130111200 has 288 divisors, whose sum is σ = 48647968830720. Its totient is φ = 2989122393600.

The previous prime is 12330130111181. The next prime is 12330130111237. The reversal of 12330130111200 is 211103103321.

12330130111200 is a `hidden beast` number, since 1 + 2 + 330 + 1 + 301 + 11 + 20 + 0 = 666.

12330130111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25709644 + ... + 26184843.

It is an arithmetic number, because the mean of its divisors is an integer number (168916558440).

Almost surely, 212330130111200 is an apocalyptic number.

12330130111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330130111200 is an abundant number, since it is smaller than the sum of its proper divisors (36317838719520).

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

12330130111200 is a wasteful number, since it uses less digits than its factorization.

12330130111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51894527 (or 51894508 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12330130111200 its reverse (211103103321), we get a palindrome (12541233214521).

The spelling of 12330130111200 in words is "twelve trillion, three hundred thirty billion, one hundred thirty million, one hundred eleven thousand, two hundred".