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12131243040000 = 28354712892801
BaseRepresentation
bin1011000010001000011001…
…1011101001110100000000
31120221201212012000022201210
42300202012123221310000
53042224241204240000
641445003251530120
72361311340314130
oct260420633516400
946851765008653
1012131243040000
113957916487317
12143b1488b9940
1369cc81c78036
142dd2261bcac0
15160864e72350
hexb08866e9d00

12131243040000 has 720 divisors, whose sum is σ = 46161483096960. Its totient is φ = 2769715200000.

The previous prime is 12131243039983. The next prime is 12131243040001. The reversal of 12131243040000 is 4034213121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131243040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4331038600 + ... + 4331041400.

It is an arithmetic number, because the mean of its divisors is an integer number (64113170968).

Almost surely, 212131243040000 is an apocalyptic number.

12131243040000 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 12131243040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23080741548480).

12131243040000 is an abundant number, since it is smaller than the sum of its proper divisors (34030240056960).

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

12131243040000 is an equidigital number, since it uses as much as digits as its factorization.

12131243040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12131243040000 its reverse (4034213121), we get a palindrome (12135277253121).

The spelling of 12131243040000 in words is "twelve trillion, one hundred thirty-one billion, two hundred forty-three million, forty thousand".