Search a number
-
+
12421442200 = 235261216691
BaseRepresentation
bin10111001000110000…
…00010101010011000
31012001200010122100211
423210120002222120
5200414342122300
65412322340504
7616546342126
oct134430025230
935050118324
1012421442200
1152a4642412
1224a7aba734
13122c572acb
1485b9a4916
154ca76c4ba
hex2e4602a98

12421442200 has 72 divisors (see below), whose sum is σ = 29362813740. Its totient is φ = 4886832000.

The previous prime is 12421442191. The next prime is 12421442213. The reversal of 12421442200 is 224412421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 735855 + ... + 752545.

Almost surely, 212421442200 is an apocalyptic number.

12421442200 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 12421442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14681406870).

12421442200 is an abundant number, since it is smaller than the sum of its proper divisors (16941371540).

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

12421442200 is a wasteful number, since it uses less digits than its factorization.

12421442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16829 (or 16759 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 12421442200 its reverse (224412421), we get a palindrome (12645854621).

The spelling of 12421442200 in words is "twelve billion, four hundred twenty-one million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 3721 6100 7442 12200 14884 16691 18605 29768 33382 37210 66764 74420 83455 93025 133528 148840 166910 186050 333820 372100 417275 667640 744200 834550 1018151 1669100 2036302 3338200 4072604 5090755 8145208 10181510 20363020 25453775 40726040 50907550 62107211 101815100 124214422 203630200 248428844 310536055 496857688 621072110 1242144220 1552680275 2484288440 3105360550 6210721100 12421442200