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12214122000320 = 26538169131251
BaseRepresentation
bin1011000110111101001001…
…1001110010111111000000
31121020122210011101201211202
42301233102121302333000
53100104010213002240
641551031251400332
72400304221000062
oct261572231627700
947218704351752
1012214122000320
113989a864a1949
1214532188b30a8
136a7a2c695166
14303249453732
15162ab6076315
hexb1bd2672fc0

12214122000320 has 28 divisors (see below), whose sum is σ = 29084878014024. Its totient is φ = 4885648800000.

The previous prime is 12214122000317. The next prime is 12214122000331. The reversal of 12214122000320 is 2300022141221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12214122000292 and 12214122000301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19084565306 + ... + 19084565945.

It is an arithmetic number, because the mean of its divisors is an integer number (1038745643358).

Almost surely, 212214122000320 is an apocalyptic number.

12214122000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12214122000320 is an abundant number, since it is smaller than the sum of its proper divisors (16870756013704).

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

12214122000320 is an equidigital number, since it uses as much as digits as its factorization.

12214122000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38169131268 (or 38169131258 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12214122000320 its reverse (2300022141221), we get a palindrome (14514144141541).

The spelling of 12214122000320 in words is "twelve trillion, two hundred fourteen billion, one hundred twenty-two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 38169131251 76338262502 152676525004 190845656255 305353050008 381691312510 610706100016 763382625020 1221412200032 1526765250040 2442824400064 3053530500080 6107061000160 12214122000320