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12231321102000 = 243253721113372621
BaseRepresentation
bin1011000111111101001110…
…0011001010011010110000
31121022022011210112121220200
42301333103203022122300
53100344221200231000
642002554044035200
72401453352644500
oct261772343123260
947268153477820
1012231321102000
11399630198a570
121456618832b00
136a95409b99c0
14303ddb75da00
15163270e7b500
hexb1fd38ca6b0

12231321102000 has 2880 divisors, whose sum is σ = 59983260075648. Its totient is φ = 2281789440000.

The previous prime is 12231321101969. The next prime is 12231321102059. The reversal of 12231321102000 is 20112313221.

12231321102000 is a `hidden beast` number, since 1 + 223 + 132 + 110 + 200 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4666660690 + ... + 4666663310.

Almost surely, 212231321102000 is an apocalyptic number.

12231321102000 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 12231321102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29991630037824).

12231321102000 is an abundant number, since it is smaller than the sum of its proper divisors (47751938973648).

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

12231321102000 is a wasteful number, since it uses less digits than its factorization.

12231321102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2699 counting only the distinct ones).

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

Adding to 12231321102000 its reverse (20112313221), we get a palindrome (12251433415221).

It can be divided in two parts, 12231321 and 102000, that added together give a palindrome (12333321).

The spelling of 12231321102000 in words is "twelve trillion, two hundred thirty-one billion, three hundred twenty-one million, one hundred two thousand".