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12410050144000 = 28532392416733
BaseRepresentation
bin1011010010010111000010…
…1000010110011100000000
31121221101111201202200112211
42310211300220112130000
53111311240314102000
642221033123431504
72420411416512625
oct264456050263400
947841451680484
1012410050144000
113a55088860133
121485198825594
136c03552241a2
1430c91483834c
15167c31cce7ba
hexb4970a16700

12410050144000 has 288 divisors, whose sum is σ = 31177782155520. Its totient is φ = 4922007552000.

The previous prime is 12410050143989. The next prime is 12410050144001. The reversal of 12410050144000 is 44105001421.

It is a super-3 number, since 3×124100501440003 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12410050144001) 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 31 ways as a sum of consecutive naturals, for example, 1843164634 + ... + 1843171366.

It is an arithmetic number, because the mean of its divisors is an integer number (108256188040).

Almost surely, 212410050144000 is an apocalyptic number.

12410050144000 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 12410050144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15588891077760).

12410050144000 is an abundant number, since it is smaller than the sum of its proper divisors (18767732011520).

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

12410050144000 is an equidigital number, since it uses as much as digits as its factorization.

12410050144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7244 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 12410050144000 its reverse (44105001421), we get a palindrome (12454155145421).

It can be divided in two parts, 124100 and 50144000, that added together give a square (50268100 = 70902).

The spelling of 12410050144000 in words is "twelve trillion, four hundred ten billion, fifty million, one hundred forty-four thousand".