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12007898880 = 283523791721
BaseRepresentation
bin10110010111011100…
…11111111100000000
31010222211222110120120
423023232133330000
5144043010231010
65303310540240
7603365312355
oct131356377400
933884873516
1012007898880
11510216717a
1223b1507680
13119499bc13
1481cab662c
154a42d0e70
hex2cbb9ff00

12007898880 has 288 divisors, whose sum is σ = 40547727360. Its totient is φ = 3022356480.

The previous prime is 12007898873. The next prime is 12007898893. The reversal of 12007898880 is 8889870021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6976420 + ... + 6978140.

It is an arithmetic number, because the mean of its divisors is an integer number (140790720).

Almost surely, 212007898880 is an apocalyptic number.

12007898880 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 12007898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20273863680).

12007898880 is an abundant number, since it is smaller than the sum of its proper divisors (28539828480).

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

12007898880 is a wasteful number, since it uses less digits than its factorization.

12007898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 51.

The spelling of 12007898880 in words is "twelve billion, seven million, eight hundred ninety-eight thousand, eight hundred eighty".