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2221122120020 = 225639971735333
BaseRepresentation
bin100000010100100101001…
…100011110100101010100
321212100002211010101222222
4200110211030132211110
5242342324230320040
64420211443241512
7316320322340636
oct40244514364524
97770084111888
102221122120020
11786a77594421
122ba575379298
131315b28851cb
1479707cb2a56
153cb9a972bb5
hex2052531e954

2221122120020 has 24 divisors (see below), whose sum is σ = 4664432023944. Its totient is φ = 888434453376.

The previous prime is 2221122119989. The next prime is 2221122120023. The reversal of 2221122120020 is 200212211222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 791437978384 + 1429684141636 = 889628^2 + 1195694^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221122120023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412274 + ... + 2147606.

It is an arithmetic number, because the mean of its divisors is an integer number (194351334331).

Almost surely, 22221122120020 is an apocalyptic number.

2221122120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221122120020 is an abundant number, since it is smaller than the sum of its proper divisors (2443309903924).

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

2221122120020 is a wasteful number, since it uses less digits than its factorization.

2221122120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799339 (or 1799337 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2221122120020 its reverse (200212211222), we get a palindrome (2421334331242).

The spelling of 2221122120020 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 63997 127994 255988 319985 639970 1279940 1735333 3470666 6941332 8676665 17353330 34706660 111056106001 222112212002 444224424004 555280530005 1110561060010 2221122120020