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2122122121220 = 225106106106061
BaseRepresentation
bin11110111000011000010…
…101011101000000000100
321111212120100011101111202
4132320120111131000010
5234232101230334340
64302520041522032
7306214110256553
oct36703025350004
97455510141452
102122122121220
11748a94682aa2
122a33464a3318
131251662b336a
14749d599dd9a
153a304419c15
hex1ee1855d004

2122122121220 has 12 divisors (see below), whose sum is σ = 4456456454604. Its totient is φ = 848848848480.

The previous prime is 2122122121181. The next prime is 2122122121271. The reversal of 2122122121220 is 221212212212.

It can be written as a sum of positive squares in 2 ways, for example, as 750375202564 + 1371746918656 = 866242^2 + 1171216^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 106106106061 = 2122122121220 / (2 + 1 + 2 + 2 + 1 + 2 + 2 + 1 + 2 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2122122121192 and 2122122121201.

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 3 ways as a sum of consecutive naturals, for example, 53053053011 + ... + 53053053050.

It is an arithmetic number, because the mean of its divisors is an integer number (371371371217).

Almost surely, 22122122121220 is an apocalyptic number.

2122122121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122122121220 is an abundant number, since it is smaller than the sum of its proper divisors (2334334333384).

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

2122122121220 is a wasteful number, since it uses less digits than its factorization.

2122122121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106106106070 (or 106106106068 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2122122121220 its reverse (221212212212), we get a palindrome (2343334333432).

The spelling of 2122122121220 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 106106106061 212212212122 424424424244 530530530305 1061061060610 2122122121220