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12131130000000 = 273571136761
BaseRepresentation
bin1011000010000111111110…
…1100011100001010000000
31120221201120022022022000010
42300201333230130022000
53042224023240000000
641444544133024520
72361305465431344
oct260417754341200
946851508268003
1012131130000000
113957868699730
12143b116a85140
1369cc6471a06b
142dd215195624
1516085a093d50
hexb087fb1c280

12131130000000 has 512 divisors, whose sum is σ = 43941965633280. Its totient is φ = 2940800000000.

The previous prime is 12131129999981. The next prime is 12131130000007. The reversal of 12131130000000 is 3113121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12131130000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329981620 + ... + 330018380.

Almost surely, 212131130000000 is an apocalyptic number.

12131130000000 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 12131130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21970982816640).

12131130000000 is an abundant number, since it is smaller than the sum of its proper divisors (31810835633280).

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

12131130000000 is an frugal number, since it uses more digits than its factorization.

12131130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36824 (or 36782 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12131130000000 its reverse (3113121), we get a palindrome (12131133113121).

The spelling of 12131130000000 in words is "twelve trillion, one hundred thirty-one billion, one hundred thirty million", and thus it is an aban number.