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12105899784 = 233211171376563
BaseRepresentation
bin10110100011001000…
…10101111100001000
31011020200101102112200
423101210111330020
5144243102243114
65321131240200
7605665310316
oct132144257410
934220342480
1012105899784
115152512760
12241a2a9060
1311ac092814
1482bb070b6
154acbdd409
hex2d1915f08

12105899784 has 192 divisors, whose sum is σ = 38153643840. Its totient is φ = 3426938880.

The previous prime is 12105899783. The next prime is 12105899789. The reversal of 12105899784 is 48799850121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12105899784.

It is not an unprimeable number, because it can be changed into a prime (12105899783) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1841287 + ... + 1847849.

It is an arithmetic number, because the mean of its divisors is an integer number (198716895).

Almost surely, 212105899784 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 12105899784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19076821920).

12105899784 is an abundant number, since it is smaller than the sum of its proper divisors (26047744056).

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

12105899784 is a wasteful number, since it uses less digits than its factorization.

12105899784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 12105899784 in words is "twelve billion, one hundred five million, eight hundred ninety-nine thousand, seven hundred eighty-four".