Search a number
-
+
12212110022020 = 22517120112990423
BaseRepresentation
bin1011000110110101101001…
…1110101101010110000100
31121020110120221111122110221
42301231122132231112010
53100040400131201040
641550055455554124
72400203320316116
oct261553236552604
947213527448427
1012212110022020
113989143813867
121452956b2b944
136a779b8b595c
143030d815b3b6
151629e95e974a
hexb1b5a7ad584

12212110022020 has 48 divisors (see below), whose sum is σ = 27156255654528. Its totient is φ = 4597115932160.

The previous prime is 12212110021999. The next prime is 12212110022027. The reversal of 12212110022020 is 2022001121221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12212110021985 and 12212110022003.

It is not an unprimeable number, because it can be changed into a prime (12212110022027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2588529 + ... + 5578951.

It is an arithmetic number, because the mean of its divisors is an integer number (565755326136).

Almost surely, 212212110022020 is an apocalyptic number.

12212110022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212110022020 is an abundant number, since it is smaller than the sum of its proper divisors (14944145632508).

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

12212110022020 is a wasteful number, since it uses less digits than its factorization.

12212110022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002460 (or 3002458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12212110022020 its reverse (2022001121221), we get a palindrome (14234111143241).

The spelling of 12212110022020 in words is "twelve trillion, two hundred twelve billion, one hundred ten million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 12011 24022 48044 60055 120110 204187 240220 408374 816748 1020935 2041870 2990423 4083740 5980846 11961692 14952115 29904230 50837191 59808460 101674382 203348764 254185955 508371910 1016743820 35917970653 71835941306 143671882612 179589853265 359179706530 610605501101 718359413060 1221211002202 2442422004404 3053027505505 6106055011010 12212110022020