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12422331250560 = 27325711172371633
BaseRepresentation
bin1011010011000100110010…
…1001000011011110000000
31121222120012121211112121100
42310301030221003132000
53112011413300004220
642230423514254400
72421324643266210
oct264611451033600
947876177745540
1012422331250560
113a5a310161280
121487645727400
136c156169cc4a
1430d35b90c240
1516820007ad90
hexb4c4ca43780

12422331250560 has 1536 divisors, whose sum is σ = 59089316382720. Its totient is φ = 2323765002240.

The previous prime is 12422331250531. The next prime is 12422331250561. The reversal of 12422331250560 is 6505213322421.

12422331250560 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 2 + 33 + 12 + 50 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422331250561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173380504 + ... + 173452136.

It is an arithmetic number, because the mean of its divisors is an integer number (38469607020).

Almost surely, 212422331250560 is an apocalyptic number.

12422331250560 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 12422331250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29544658191360).

12422331250560 is an abundant number, since it is smaller than the sum of its proper divisors (46666985132160).

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

12422331250560 is a wasteful number, since it uses less digits than its factorization.

12422331250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71716 (or 71701 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 12422331250560 its reverse (6505213322421), we get a palindrome (18927544572981).

The spelling of 12422331250560 in words is "twelve trillion, four hundred twenty-two billion, three hundred thirty-one million, two hundred fifty thousand, five hundred sixty".