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12211222112000 = 2853381600691
BaseRepresentation
bin1011000110110010010110…
…0011100110011100000000
31121020101022001202010220122
42301230211203212130000
53100032040330041000
641545431420555412
72400142316233142
oct261544543463400
947211261663818
1012211222112000
11398882859992a
1214527496b2b68
136a7689963202
1430305226ac92
151629966aa085
hexb1b258e6700

12211222112000 has 72 divisors (see below), whose sum is σ = 30419680763472. Its totient is φ = 4884488832000.

The previous prime is 12211222111981. The next prime is 12211222112017. The reversal of 12211222112000 is 21122211221.

It is a super-2 number, since 2×122112221120002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12211222112000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190768346 + ... + 190832345.

Almost surely, 212211222112000 is an apocalyptic number.

12211222112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211222112000 is an abundant number, since it is smaller than the sum of its proper divisors (18208458651472).

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

12211222112000 is an frugal number, since it uses more digits than its factorization.

12211222112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381600722 (or 381600698 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12211222112000 its reverse (21122211221), we get a palindrome (12232344323221).

The spelling of 12211222112000 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 381600691 763201382 1526402764 1908003455 3052805528 3816006910 6105611056 7632013820 9540017275 12211222112 15264027640 19080034550 24422444224 30528055280 38160069100 47700086375 48844888448 61056110560 76320138200 95400172750 97689776896 122112221120 152640276400 190800345500 244224442240 305280552800 381600691000 488448884480 610561105600 763201382000 1221122211200 1526402764000 2442244422400 3052805528000 6105611056000 12211222112000