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12122122111100 = 2252196380064269
BaseRepresentation
bin1011000001100110011011…
…0010000100100001111100
31120220212022112101010110022
42300121212302010201330
53042102101230023400
641440454230431312
72360536325562521
oct260314662044174
946825275333408
1012122122111100
113953a659aa451
121439422202538
1369c15a4370a1
142dc9dcac9148
151604ce359b85
hexb0666c8487c

12122122111100 has 36 divisors (see below), whose sum is σ = 27689478931800. Its totient is φ = 4593646272960.

The previous prime is 12122122111037. The next prime is 12122122111133. The reversal of 12122122111100 is 111122122121.

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 11 ways as a sum of consecutive naturals, for example, 3190030235 + ... + 3190034034.

It is an arithmetic number, because the mean of its divisors is an integer number (769152192550).

Almost surely, 212122122111100 is an apocalyptic number.

12122122111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122122111100 is an abundant number, since it is smaller than the sum of its proper divisors (15567356820700).

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

12122122111100 is a wasteful number, since it uses less digits than its factorization.

12122122111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380064302 (or 6380064295 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12122122111100 its reverse (111122122121), we get a palindrome (12233244233221).

The spelling of 12122122111100 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 6380064269 12760128538 25520257076 31900321345 63800642690 121221221111 127601285380 159501606725 242442442222 319003213450 484884884444 606106105555 638006426900 1212212211110 2424424422220 3030530527775 6061061055550 12122122111100