Search a number
-
+
122220102012 = 22319536053079
BaseRepresentation
bin111000111010011100…
…0101100000101111100
3102200110201200110220220
41301310320230011330
54000301321231022
6132051440541340
711554504504011
oct1616470540574
9380421613826
10122220102012
1147919074678
121b82b321850
13b6aa1366b8
145cb6137708
1532a4d4385c
hex1c74e2c17c

122220102012 has 24 divisors (see below), whose sum is σ = 300189724800. Its totient is φ = 38595821616.

The previous prime is 122220102007. The next prime is 122220102013. The reversal of 122220102012 is 210201022221.

It is a junction number, because it is equal to n+sod(n) for n = 122220101982 and 122220102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220102013) by changing a digit.

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, 268026312 + ... + 268026767.

It is an arithmetic number, because the mean of its divisors is an integer number (12507905200).

Almost surely, 2122220102012 is an apocalyptic number.

122220102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122220102012 is an abundant number, since it is smaller than the sum of its proper divisors (177969622788).

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

122220102012 is a wasteful number, since it uses less digits than its factorization.

122220102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536053105 (or 536053103 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122220102012 its reverse (210201022221), we get a palindrome (332421124233).

The spelling of 122220102012 in words is "one hundred twenty-two billion, two hundred twenty million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 536053079 1072106158 1608159237 2144212316 3216318474 6432636948 10185008501 20370017002 30555025503 40740034004 61110051006 122220102012