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12321130120200 = 233352111275413019
BaseRepresentation
bin1011001101001011110010…
…0101011000010000001000
31121121212222202001110021000
42303102330211120100020
53103332133302321300
642112125443015000
72411113043004006
oct263227445302010
947555882043230
1012321130120200
113a203a8818160
12146bb0166a460
136b4b540916a5
143084bb145a76
1516577a680c00
hexb34bc958408

12321130120200 has 768 divisors, whose sum is σ = 46763864064000. Its totient is φ = 2956963968000.

The previous prime is 12321130120193. The next prime is 12321130120223. The reversal of 12321130120200 is 202103112321.

12321130120200 is a `hidden beast` number, since 1 + 2 + 321 + 1 + 301 + 20 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4081194291 + ... + 4081197309.

It is an arithmetic number, because the mean of its divisors is an integer number (60890448000).

Almost surely, 212321130120200 is an apocalyptic number.

12321130120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321130120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23381932032000).

12321130120200 is an abundant number, since it is smaller than the sum of its proper divisors (34442733943800).

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

12321130120200 is a wasteful number, since it uses less digits than its factorization.

12321130120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3708 counting only the distinct ones).

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

Adding to 12321130120200 its reverse (202103112321), we get a palindrome (12523233232521).

The spelling of 12321130120200 in words is "twelve trillion, three hundred twenty-one billion, one hundred thirty million, one hundred twenty thousand, two hundred".