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2122122202020 = 2232511789567789
BaseRepresentation
bin11110111000011000010…
…101110000101110100100
321111212120100022111100100
4132320120111300232210
5234232101240431040
64302520043344100
7306214111044252
oct36703025605644
97455510274310
102122122202020
11748a94728777
122a3346522030
13125166311082
14749d59c15d2
153a304433b30
hex1ee18570ba4

2122122202020 has 36 divisors (see below), whose sum is σ = 6437104013340. Its totient is φ = 565899253824.

The previous prime is 2122122202019. The next prime is 2122122202021. The reversal of 2122122202020 is 202022212212.

2122122202020 is a `hidden beast` number, since 21 + 221 + 2 + 220 + 202 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2122122202019) and next prime (2122122202021).

It can be written as a sum of positive squares in 2 ways, for example, as 675447284736 + 1446674917284 = 821856^2 + 1202778^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122122201984 and 2122122202002.

It is not an unprimeable number, because it can be changed into a prime (2122122202021) 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, 5894783715 + ... + 5894784074.

It is an arithmetic number, because the mean of its divisors is an integer number (178808444815).

Almost surely, 22122122202020 is an apocalyptic number.

2122122202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122122202020 is an abundant number, since it is smaller than the sum of its proper divisors (4314981811320).

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

2122122202020 is a wasteful number, since it uses less digits than its factorization.

2122122202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11789567804 (or 11789567799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122122202020 its reverse (202022212212), we get a palindrome (2324144414232).

The spelling of 2122122202020 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11789567789 23579135578 35368703367 47158271156 58947838945 70737406734 106106110101 117895677890 141474813468 176843516835 212212220202 235791355780 353687033670 424424440404 530530550505 707374067340 1061061101010 2122122202020