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12213320200 = 2352176535501
BaseRepresentation
bin10110101111111100…
…00111101000001000
31011112011111221122121
423113332013220020
5200003102221300
65335525501024
7611441336344
oct132776075010
934464457577
1012213320200
1151a8112264
12244a271774
1311c84039b3
1483c0aa624
154b735b81a
hex2d7f87a08

12213320200 has 96 divisors (see below), whose sum is σ = 30117837960. Its totient is φ = 4590080000.

The previous prime is 12213320179. The next prime is 12213320209. The reversal of 12213320200 is 202331221.

It can be written as a sum of positive squares in 12 ways, for example, as 3698829124 + 8514491076 = 60818^2 + 92274^2 .

It is not an unprimeable number, because it can be changed into a prime (12213320209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2217450 + ... + 2222950.

Almost surely, 212213320200 is an apocalyptic number.

12213320200 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 12213320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058918980).

12213320200 is an abundant number, since it is smaller than the sum of its proper divisors (17904517760).

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

12213320200 is a wasteful number, since it uses less digits than its factorization.

12213320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6187 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12213320200 its reverse (202331221), we get a palindrome (12415651421).

The spelling of 12213320200 in words is "twelve billion, two hundred thirteen million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 653 680 850 1306 1700 2612 3265 3400 5224 5501 6530 11002 11101 13060 16325 22004 22202 26120 27505 32650 44008 44404 55010 55505 65300 88808 93517 110020 111010 130600 137525 187034 220040 222020 275050 277525 374068 444040 467585 550100 555050 748136 935170 1100200 1110100 1870340 2220200 2337925 3592153 3740680 4675850 7184306 9351700 14368612 17960765 18703400 28737224 35921530 61066601 71843060 89803825 122133202 143686120 179607650 244266404 305333005 359215300 488532808 610666010 718430600 1221332020 1526665025 2442664040 3053330050 6106660100 12213320200