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12221210000 = 24541279623
BaseRepresentation
bin10110110000111000…
…01101110110010000
31011112201100210102102
423120130031312100
5200012112210000
65340410535532
7611565366566
oct133034156620
934481323372
1012221210000
115201610a5a
122450a375a8
1311c9c36c0c
1483d161a36
154b7db93d5
hex2d870dd90

12221210000 has 100 divisors (see below), whose sum is σ = 29824852992. Its totient is φ = 4849488000.

The previous prime is 12221209997. The next prime is 12221210009. The reversal of 12221210000 is 1212221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (12221210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1265189 + ... + 1274811.

Almost surely, 212221210000 is an apocalyptic number.

12221210000 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 12221210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14912426496).

12221210000 is an abundant number, since it is smaller than the sum of its proper divisors (17603642992).

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

12221210000 is an equidigital number, since it uses as much as digits as its factorization.

12221210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9778 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12221210000 its reverse (1212221), we get a palindrome (12222422221).

The spelling of 12221210000 in words is "twelve billion, two hundred twenty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 127 200 250 254 400 500 508 625 635 1000 1016 1250 1270 2000 2032 2500 2540 3175 5000 5080 6350 9623 10000 10160 12700 15875 19246 25400 31750 38492 48115 50800 63500 76984 79375 96230 127000 153968 158750 192460 240575 254000 317500 384920 481150 635000 769840 962300 1202875 1222121 1270000 1924600 2405750 2444242 3849200 4811500 4888484 6014375 6110605 9623000 9776968 12028750 12221210 19246000 19553936 24057500 24442420 30553025 48115000 48884840 61106050 96230000 97769680 122212100 152765125 244424200 305530250 488848400 611060500 763825625 1222121000 1527651250 2444242000 3055302500 6110605000 12221210000