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202212221121220 = 225101100105059961
BaseRepresentation
bin101101111110100100110011…
…100110111111001011000100
3222111222022002100221212200011
4231332210303212333023010
5203001021112101334340
61554023002325400004
760410231226506602
oct5576446346771304
9874868070855604
10202212221121220
11594817a3185612
121a81a0bb869004
1388aa6b8a47a9b
1437d11a36d2872
15185a00d38e0ea
hexb7e9339bf2c4

202212221121220 has 24 divisors (see below), whose sum is σ = 428850076877208. Its totient is φ = 80084047968000.

The previous prime is 202212221121203. The next prime is 202212221121247. The reversal of 202212221121220 is 22121122212202.

It can be written as a sum of positive squares in 4 ways, for example, as 120362709348036 + 81849511773184 = 10970994^2 + 9047072^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202212221121191 and 202212221121200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50052527961 + ... + 50052532000.

It is an arithmetic number, because the mean of its divisors is an integer number (17868753203217).

Almost surely, 2202212221121220 is an apocalyptic number.

202212221121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212221121220 is an abundant number, since it is smaller than the sum of its proper divisors (226637855755988).

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

202212221121220 is a wasteful number, since it uses less digits than its factorization.

202212221121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100105060071 (or 100105060069 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 202212221121220 its reverse (22121122212202), we get a palindrome (224333343333422).

The spelling of 202212221121220 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 100105059961 200210119922 400420239844 500525299805 1001050599610 2002101199220 10110611056061 20221222112122 40442444224244 50553055280305 101106110560610 202212221121220