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12890868120 = 2335513172353
BaseRepresentation
bin11000000000101101…
…10000100110011000
31020021101102221200000
430000112300212120
5202400030234440
65531052013000
7634306366614
oct140026604630
936241387600
1012890868120
115515617019
1225b9161160
1312a58b1820
148a407c344
15506a96730
hex3005b0998

12890868120 has 576 divisors, whose sum is σ = 49844077920. Its totient is φ = 2978021376.

The previous prime is 12890868071. The next prime is 12890868143. The reversal of 12890868120 is 2186809821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36517864 + ... + 36518216.

Almost surely, 212890868120 is an apocalyptic number.

12890868120 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 12890868120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24922038960).

12890868120 is an abundant number, since it is smaller than the sum of its proper divisors (36953209800).

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

12890868120 is a wasteful number, since it uses less digits than its factorization.

12890868120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 12890868120 in words is "twelve billion, eight hundred ninety million, eight hundred sixty-eight thousand, one hundred twenty".