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12125866000 = 245319930467
BaseRepresentation
bin10110100101100001…
…00000100000010000
31011022001221211001011
423102300200200100
5144313210203000
65323123220304
7606330106003
oct132260404020
934261854034
1012125866000
11516280a666
122424b17694
1311b3263751
1483062353a
154ae8342ba
hex2d2c20810

12125866000 has 80 divisors (see below), whose sum is σ = 29468649600. Its totient is φ = 4825814400.

The previous prime is 12125865937. The next prime is 12125866001. The reversal of 12125866000 is 66852121.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12125866001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382767 + ... + 413233.

It is an arithmetic number, because the mean of its divisors is an integer number (368358120).

Almost surely, 212125866000 is an apocalyptic number.

12125866000 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 12125866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14734324800).

12125866000 is an abundant number, since it is smaller than the sum of its proper divisors (17342783600).

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

12125866000 is a wasteful number, since it uses less digits than its factorization.

12125866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30689 (or 30673 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 12125866000 in words is "twelve billion, one hundred twenty-five million, eight hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 199 200 250 398 400 500 796 995 1000 1592 1990 2000 3184 3980 4975 7960 9950 15920 19900 24875 30467 39800 49750 60934 79600 99500 121868 152335 199000 243736 304670 398000 487472 609340 761675 1218680 1523350 2437360 3046700 3808375 6062933 6093400 7616750 12125866 12186800 15233500 24251732 30314665 30467000 48503464 60629330 60934000 97006928 121258660 151573325 242517320 303146650 485034640 606293300 757866625 1212586600 1515733250 2425173200 3031466500 6062933000 12125866000