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12422708674560 = 21438529797
BaseRepresentation
bin1011010011000110001100…
…1000110100000000000000
31121222121011221000200000000
42310301203020310000000
53112013201410041220
642230525200000000
72421340205322552
oct264614310640000
947877157020000
1012422708674560
113a5a494207538
121487730000000
136c15c1938762
1430d395ab74d2
15168223280390
hexb4c63234000

12422708674560 has 1080 divisors, whose sum is σ = 46318161151080. Its totient is φ = 3194477346816.

The previous prime is 12422708674507. The next prime is 12422708674627. The reversal of 12422708674560 is 6547680722421.

12422708674560 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 2 + 7 + 0 + 8 + 6 + 74 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1277153132544 + 11145555542016 = 1130112^2 + 3338496^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12422708674497 and 12422708674506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15586836082 + ... + 15586836878.

It is an arithmetic number, because the mean of its divisors is an integer number (42887186251).

Almost surely, 212422708674560 is an apocalyptic number.

12422708674560 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 12422708674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23159080575540).

12422708674560 is an abundant number, since it is smaller than the sum of its proper divisors (33895452476520).

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

12422708674560 is an frugal number, since it uses more digits than its factorization.

12422708674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 12422708674560 in words is "twelve trillion, four hundred twenty-two billion, seven hundred eight million, six hundred seventy-four thousand, five hundred sixty".