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12232210000 = 24544328447
BaseRepresentation
bin10110110010001100…
…01011011001010000
31011120111001122120211
423121012023121100
5200022421210000
65341442413504
7612061032553
oct133106133120
934514048524
1012232210000
11520784446a
122454661294
1311cc2b89aa
148407c669a
154b8d3d7ba
hex2d918b650

12232210000 has 100 divisors (see below), whose sum is σ = 30305199232. Its totient is φ = 4778928000.

The previous prime is 12232209943. The next prime is 12232210007. The reversal of 12232210000 is 1223221.

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

It is a super-2 number, since 2×122322100002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232210007) 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, 415777 + ... + 444223.

Almost surely, 212232210000 is an apocalyptic number.

12232210000 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 12232210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152599616).

12232210000 is an abundant number, since it is smaller than the sum of its proper divisors (18072989232).

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

12232210000 is an equidigital number, since it uses as much as digits as its factorization.

12232210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28518 (or 28497 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12232210000 its reverse (1223221), we get a palindrome (12233433221).

12232210000 divided by its reverse (1223221) gives a 4-th power (10000 = 104).

The spelling of 12232210000 in words is "twelve billion, two hundred thirty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 625 688 860 1000 1075 1250 1720 2000 2150 2500 3440 4300 5000 5375 8600 10000 10750 17200 21500 26875 28447 43000 53750 56894 86000 107500 113788 142235 215000 227576 284470 430000 455152 568940 711175 1137880 1223221 1422350 2275760 2446442 2844700 3555875 4892884 5689400 6116105 7111750 9785768 11378800 12232210 14223500 17779375 19571536 24464420 28447000 30580525 35558750 48928840 56894000 61161050 71117500 97857680 122322100 142235000 152902625 244644200 284470000 305805250 489288400 611610500 764513125 1223221000 1529026250 2446442000 3058052500 6116105000 12232210000