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12231011130100 = 225271910122740111
BaseRepresentation
bin1011000111111100000100…
…0100101101101011110100
31121022021101012021102101221
42301333001010231223310
53100343102322130400
642002503212200124
72401442600143360
oct261770104555364
947267335242357
1012231011130100
113996162a15044
121456550a69044
136a94c170a089
14303dac5122a0
15163253b4cc1a
hexb1fc112daf4

12231011130100 has 288 divisors, whose sum is σ = 32388367011840. Its totient is φ = 3916019520000.

The previous prime is 12231011130077. The next prime is 12231011130127. The reversal of 12231011130100 is 103111013221.

It is a happy number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 304909045 + ... + 304949155.

It is an arithmetic number, because the mean of its divisors is an integer number (112459607680).

Almost surely, 212231011130100 is an apocalyptic number.

12231011130100 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 12231011130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16194183505920).

12231011130100 is an abundant number, since it is smaller than the sum of its proper divisors (20157355881740).

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

12231011130100 is a wasteful number, since it uses less digits than its factorization.

12231011130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40479 (or 40472 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12231011130100 its reverse (103111013221), we get a palindrome (12334122143321).

The spelling of 12231011130100 in words is "twelve trillion, two hundred thirty-one billion, eleven million, one hundred thirty thousand, one hundred".