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12222021010000 = 24545323060417
BaseRepresentation
bin1011000111011010100100…
…1110001000001001010000
31121021102011122210000001211
42301312221032020021100
53100221144334310000
641554415142505504
72401004034321604
oct261665116101120
947242148700054
1012222021010000
11399236a26181a
121454862135294
136a86bb008a99
1430379854d504
15162dc97737ba
hexb1da9388250

12222021010000 has 100 divisors (see below), whose sum is σ = 30149052130692. Its totient is φ = 4796566528000.

The previous prime is 12222021009983. The next prime is 12222021010009. The reversal of 12222021010000 is 1012022221.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 3712758629904 + 8509262380096 = 1926852^2 + 2917064^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222021010009) 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, 11000209 + ... + 12060208.

Almost surely, 212222021010000 is an apocalyptic number.

12222021010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222021010000 is an abundant number, since it is smaller than the sum of its proper divisors (17927031120692).

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

12222021010000 is an equidigital number, since it uses as much as digits as its factorization.

12222021010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23060498 (or 23060477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12222021010000 its reverse (1012022221), we get a palindrome (12223033032221).

The spelling of 12222021010000 in words is "twelve trillion, two hundred twenty-two billion, twenty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 625 848 1000 1060 1250 1325 2000 2120 2500 2650 4240 5000 5300 6625 10000 10600 13250 21200 26500 33125 53000 66250 106000 132500 265000 530000 23060417 46120834 92241668 115302085 184483336 230604170 368966672 461208340 576510425 922416680 1153020850 1222202101 1844833360 2306041700 2444404202 2882552125 4612083400 4888808404 5765104250 6111010505 9224166800 9777616808 11530208500 12222021010 14412760625 19555233616 23060417000 24444042020 28825521250 30555052525 46120834000 48888084040 57651042500 61110105050 97776168080 115302085000 122220210100 152775262625 230604170000 244440420200 305550525250 488880840400 611101050500 763876313125 1222202101000 1527752626250 2444404202000 3055505252500 6111010505000 12222021010000