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12421000000 = 265612421
BaseRepresentation
bin10111001000101100…
…10110101101000000
31012001122022011210001
423210112112231000
5200414234000000
65412305045344
7616542520663
oct134426265500
935048264701
1012421000000
1152a4370162
1224a7926854
13122c449756
1485b8cb6da
154ca6d146a
hex2e4596b40

12421000000 has 98 divisors (see below), whose sum is σ = 30811988414. Its totient is φ = 4968000000.

The previous prime is 12420999977. The next prime is 12421000013. The reversal of 12421000000 is 12421.

It can be written as a sum of positive squares in 7 ways, for example, as 11538197056 + 882802944 = 107416^2 + 29712^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 993790 + ... + 1006210.

Almost surely, 212421000000 is an apocalyptic number.

12421000000 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 12421000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405994207).

12421000000 is an abundant number, since it is smaller than the sum of its proper divisors (18390988414).

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

12421000000 is an frugal number, since it uses more digits than its factorization.

12421000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12463 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12421000000 its reverse (12421), we get a palindrome (12421012421).

Multiplying 12421000000 by its reverse (12421), we get a square (154281241000000 = 124210002).

12421000000 divided by its reverse (12421) gives a 6-th power (1000000 = 106).

The spelling of 12421000000 in words is "twelve billion, four hundred twenty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12421 12500 15625 20000 24842 25000 31250 40000 49684 50000 62105 62500 99368 100000 124210 125000 198736 200000 248420 250000 310525 397472 496840 500000 621050 794944 993680 1000000 1242100 1552625 1987360 2484200 3105250 3974720 4968400 6210500 7763125 9936800 12421000 15526250 19873600 24842000 31052500 38815625 49684000 62105000 77631250 99368000 124210000 155262500 194078125 248420000 310525000 388156250 496840000 621050000 776312500 1242100000 1552625000 2484200000 3105250000 6210500000 12421000000