Search a number
-
+
122021112212021 = 1121008438943901
BaseRepresentation
bin11011101111101001000001…
…000011000110101000110101
3121000001002211002222101020002
4123233221001003012220311
5111443143214211241041
61111303420341521045
734462506624423611
oct3357510103065065
9530032732871202
10122021112212021
113597495483a400
1211828613713185
135311706903c99
14221bbd3802341
15e190b0d4859b
hex6efa410c6a35

122021112212021 has 6 divisors (see below), whose sum is σ = 134122379538966. Its totient is φ = 110928283829000.

The previous prime is 122021112212017. The next prime is 122021112212039. The reversal of 122021112212021 is 120212211120221.

It can be written as a sum of positive squares in only one way, i.e., 121811815111921 + 209297100100 = 11036839^2 + 457490^2 .

It is not a de Polignac number, because 122021112212021 - 22 = 122021112212017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122021112211984 and 122021112212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021112212011) 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 5 ways as a sum of consecutive naturals, for example, 504219471830 + ... + 504219472071.

It is an arithmetic number, because the mean of its divisors is an integer number (22353729923161).

Almost surely, 2122021112212021 is an apocalyptic number.

122021112212021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122021112212021 is a deficient number, since it is larger than the sum of its proper divisors (12101267326945).

122021112212021 is a wasteful number, since it uses less digits than its factorization.

122021112212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008438943923 (or 1008438943912 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122021112212021 its reverse (120212211120221), we get a palindrome (242233323332242).

The spelling of 122021112212021 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twelve million, two hundred twelve thousand, twenty-one".

Divisors: 1 11 121 1008438943901 11092828382911 122021112212021