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2200020122120 = 235173235323709
BaseRepresentation
bin100000000000111011011…
…010101111101000001000
321210022122011222211211012
4200000323122233220020
5242021120122401440
64402401510223052
7314642356330112
oct40007332575010
97708564884735
102200020122120
11779029006037
122b6466354a88
1312c5cbaaa412
14786a54cc3b2
153c3630c8e65
hex2003b6afa08

2200020122120 has 32 divisors (see below), whose sum is σ = 5241224410200. Its totient is φ = 828242869248.

The previous prime is 2200020122081. The next prime is 2200020122141. The reversal of 2200020122120 is 212210200022.

It can be written as a sum of positive squares in 4 ways, for example, as 1976875368196 + 223144753924 = 1406014^2 + 472382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2200020122095 and 2200020122104.

It is an unprimeable number.

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, 1617661175 + ... + 1617662534.

Almost surely, 22200020122120 is an apocalyptic number.

2200020122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200020122120 is an abundant number, since it is smaller than the sum of its proper divisors (3041204288080).

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

2200020122120 is a wasteful number, since it uses less digits than its factorization.

2200020122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235323737 (or 3235323733 counting only the distinct ones).

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

Adding to 2200020122120 its reverse (212210200022), we get a palindrome (2412230322142).

The spelling of 2200020122120 in words is "two trillion, two hundred billion, twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3235323709 6470647418 12941294836 16176618545 25882589672 32353237090 55000503053 64706474180 110001006106 129412948360 220002012212 275002515265 440004024424 550005030530 1100010061060 2200020122120