Search a number
-
+
122201202020020 = 22519216925374241
BaseRepresentation
bin11011110010010000101111…
…001111001100111010110100
3121000200022122212201111212221
4123302100233033030322310
5112004121030204120040
61111522242431252124
734511513463506614
oct3362205717147264
9530608585644787
10122201202020020
1135a34269841672
12118574b337a044
1353256a7030c56
1422267d94d8a44
15e1db0139174a
hex6f242f3cceb4

122201202020020 has 36 divisors (see below), whose sum is σ = 270839838620484. Its totient is φ = 46307823920640.

The previous prime is 122201202019957. The next prime is 122201202020021. The reversal of 122201202020020 is 20020202102221.

It can be written as a sum of positive squares in 2 ways, for example, as 54471396464676 + 67729805555344 = 7380474^2 + 8229812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122201202019976 and 122201202020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201202020021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8462679901 + ... + 8462694340.

It is an arithmetic number, because the mean of its divisors is an integer number (7523328850569).

Almost surely, 2122201202020020 is an apocalyptic number.

122201202020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201202020020 is an abundant number, since it is smaller than the sum of its proper divisors (148638636600464).

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

122201202020020 is a wasteful number, since it uses less digits than its factorization.

122201202020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16925374288 (or 16925374267 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122201202020020 its reverse (20020202102221), we get a palindrome (142221404122241).

The spelling of 122201202020020 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 16925374241 33850748482 67701496964 84626871205 169253742410 321582110579 338507484820 643164221158 1286328442316 1607910552895 3215821105790 6110060101001 6431642211580 12220120202002 24440240404004 30550300505005 61100601010010 122201202020020