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22010112122000 = 245311005056061
BaseRepresentation
bin1010000000100101000001…
…11010100001110010010000
32212221010221120001101012212
411000102200322201302100
510341103202200401000
6114451150025011252
74431115045112132
oct500224072416220
985833846041185
1022010112122000
117016488543842
12257585a023b28
13c38710831742
1456141bad9052
152828009bcc35
hex1404a0ea1c90

22010112122000 has 40 divisors (see below), whose sum is σ = 53220451115832. Its totient is φ = 8804044848000.

The previous prime is 22010112121967. The next prime is 22010112122041. The reversal of 22010112122000 is 22121101022.

It can be written as a sum of positive squares in 4 ways, for example, as 6904639118224 + 15105473003776 = 2627668^2 + 3886576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×220101121220002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5502526031 + ... + 5502530030.

Almost surely, 222010112122000 is an apocalyptic number.

22010112122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010112122000 is an abundant number, since it is smaller than the sum of its proper divisors (31210338993832).

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

22010112122000 is a wasteful number, since it uses less digits than its factorization.

22010112122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005056084 (or 11005056068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22010112122000 its reverse (22121101022), we get a palindrome (22032233223022).

The spelling of 22010112122000 in words is "twenty-two trillion, ten billion, one hundred twelve million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11005056061 22010112122 44020224244 55025280305 88040448488 110050560610 176080896976 220101121220 275126401525 440202242440 550252803050 880404484880 1100505606100 1375632007625 2201011212200 2751264015250 4402022424400 5502528030500 11005056061000 22010112122000