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12131103210000 = 243542331836833
BaseRepresentation
bin1011000010000111111000…
…0110001111101000010000
31120221201111102220020000220
42300201332012033220100
53042223444410210000
641444541334513040
72361305021632365
oct260417606175020
946851442806026
1012131103210000
113957854560a35
12143b109b05780
1369cc5bcca1a8
142dd2117c046c
15160857a511a0
hexb087e18fa10

12131103210000 has 800 divisors, whose sum is σ = 42696099274752. Its totient is φ = 2957982720000.

The previous prime is 12131103209989. The next prime is 12131103210001. The reversal of 12131103210000 is 1230113121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12131103210001) 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 159 ways as a sum of consecutive naturals, for example, 1775366584 + ... + 1775373416.

Almost surely, 212131103210000 is an apocalyptic number.

12131103210000 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 12131103210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21348049637376).

12131103210000 is an abundant number, since it is smaller than the sum of its proper divisors (30564996064752).

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

12131103210000 is a wasteful number, since it uses less digits than its factorization.

12131103210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12131103210000 its reverse (1230113121), we get a palindrome (12132333323121).

The spelling of 12131103210000 in words is "twelve trillion, one hundred thirty-one billion, one hundred three million, two hundred ten thousand".