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11122112000 = 2953173783
BaseRepresentation
bin10100101101110110…
…11111011000000000
31001201010012211102002
422112323133120000
5140234230041000
65035345243132
7542421251336
oct122673373000
931633184362
1011122112000
1147981623aa
1221a49334a8
13108331097c
147771b9b56
154516608d5
hex296edf600

11122112000 has 80 divisors (see below), whose sum is σ = 27733840992. Its totient is φ = 4448819200.

The previous prime is 11122111999. The next prime is 11122112041. The reversal of 11122112000 is 21122111.

11122112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22892 + ... + 150891.

Almost surely, 211122112000 is an apocalyptic number.

11122112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122112000 is an abundant number, since it is smaller than the sum of its proper divisors (16611728992).

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

11122112000 is an frugal number, since it uses more digits than its factorization.

11122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173816 (or 173790 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11122112000 its reverse (21122111), we get a palindrome (11143234111).

It can be divided in two parts, 1112 and 2112000, that added together give a palindrome (2113112).

The spelling of 11122112000 in words is "eleven billion, one hundred twenty-two million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 4000 6400 8000 12800 16000 32000 64000 173783 347566 695132 868915 1390264 1737830 2780528 3475660 4344575 5561056 6951320 8689150 11122112 13902640 17378300 21722875 22244224 27805280 34756600 43445750 44488448 55610560 69513200 86891500 88976896 111221120 139026400 173783000 222442240 278052800 347566000 444884480 556105600 695132000 1112211200 1390264000 2224422400 2780528000 5561056000 11122112000