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12561700230144 = 2103313191839449
BaseRepresentation
bin1011011011001011111110…
…1011100001010000000000
31122110212221111011021002000
42312302333223201100000
53121302330224331034
642414433155224000
72434360433130642
oct266627753412000
948425844137060
1012561700230144
11400342932a43a
1214aa65bba8000
137017425c4a80
14315dbd3da892
1516bb5a6a3599
hexb6cbfae1400

12561700230144 has 352 divisors, whose sum is σ = 42171966480000. Its totient is φ = 3661708197888.

The previous prime is 12561700230017. The next prime is 12561700230151. The reversal of 12561700230144 is 44103200716521.

12561700230144 is a `hidden beast` number, since 1 + 2 + 5 + 617 + 0 + 0 + 2 + 30 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12561700230099 and 12561700230108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5909332 + ... + 7748780.

Almost surely, 212561700230144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12561700230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21085983240000).

12561700230144 is an abundant number, since it is smaller than the sum of its proper divisors (29610266249856).

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

12561700230144 is a wasteful number, since it uses less digits than its factorization.

12561700230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839510 (or 1839486 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 12561700230144 its reverse (44103200716521), we get a palindrome (56664900946665).

The spelling of 12561700230144 in words is "twelve trillion, five hundred sixty-one billion, seven hundred million, two hundred thirty thousand, one hundred forty-four".