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12980085888 = 273731117231
BaseRepresentation
bin11000001011010110…
…00110010010000000
31020111121022200102210
430011223012102000
5203040400222023
65544000142120
7636441624000
oct140553062200
936447280383
1012980085888
115560a13710
122623007940
1312bb21b6c3
148b1c64000
1550e81b593
hex305ac6480

12980085888 has 768 divisors, whose sum is σ = 48098304000. Its totient is φ = 3070771200.

The previous prime is 12980085887. The next prime is 12980085889. The reversal of 12980085888 is 88858008921.

It is an interprime number because it is at equal distance from previous prime (12980085887) and next prime (12980085889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12980085887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418712433 + ... + 418712463.

It is an arithmetic number, because the mean of its divisors is an integer number (62628000).

Almost surely, 212980085888 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 12980085888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24049152000).

12980085888 is an abundant number, since it is smaller than the sum of its proper divisors (35118218112).

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

12980085888 is a wasteful number, since it uses less digits than its factorization.

12980085888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 57.

The spelling of 12980085888 in words is "twelve billion, nine hundred eighty million, eighty-five thousand, eight hundred eighty-eight".