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20002122001220 = 2253173154908833
BaseRepresentation
bin1001000110001000110110…
…11000000110101101000100
32121211011222021101100002112
410203010123120012231010
510110203321213014340
6110312503100000152
74133051141521232
oct443043330065504
977734867340075
1020002122001220
116411941462a57
1222b0666230058
13b21265b05b68
144d2171dd3952
1524a47b2e7065
hex12311b606b44

20002122001220 has 24 divisors (see below), whose sum is σ = 42136962386904. Its totient is φ = 7975609527296.

The previous prime is 20002122001207. The next prime is 20002122001241. The reversal of 20002122001220 is 2210022120002.

It can be written as a sum of positive squares in 4 ways, for example, as 166731755584 + 19835390245636 = 408328^2 + 4453694^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20002122001195 and 20002122001204.

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, 1577448077 + ... + 1577460756.

It is an arithmetic number, because the mean of its divisors is an integer number (1755706766121).

Almost surely, 220002122001220 is an apocalyptic number.

20002122001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002122001220 is an abundant number, since it is smaller than the sum of its proper divisors (22134840385684).

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

20002122001220 is a wasteful number, since it uses less digits than its factorization.

20002122001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154909159 (or 3154909157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20002122001220 its reverse (2210022120002), we get a palindrome (22212144121222).

The spelling of 20002122001220 in words is "twenty trillion, two billion, one hundred twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 317 634 1268 1585 3170 6340 3154908833 6309817666 12619635332 15774544165 31549088330 63098176660 1000106100061 2000212200122 4000424400244 5000530500305 10001061000610 20002122001220