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12998622960 = 24335172315391
BaseRepresentation
bin11000001101100011…
…10011111011110000
31020112220012110112000
430012301303323300
5203110121413320
65545501334000
7640055320641
oct140661637360
936486173460
1012998622960
115570424904
122629267300
1312c200bc9b
148b44cb6c8
1551127dc90
hex306c73ef0

12998622960 has 320 divisors, whose sum is σ = 49471119360. Its totient is φ = 3120353280.

The previous prime is 12998622941. The next prime is 12998622997. The reversal of 12998622960 is 6922689921.

It is a happy number.

12998622960 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 8 + 622 + 9 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 12998622897 and 12998622906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 836865 + ... + 852255.

It is an arithmetic number, because the mean of its divisors is an integer number (154597248).

Almost surely, 212998622960 is an apocalyptic number.

12998622960 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 12998622960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24735559680).

12998622960 is an abundant number, since it is smaller than the sum of its proper divisors (36472496400).

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

12998622960 is a wasteful number, since it uses less digits than its factorization.

12998622960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15453 (or 15441 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 12998622960 in words is "twelve billion, nine hundred ninety-eight million, six hundred twenty-two thousand, nine hundred sixty".