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1022212120122 = 23256789562229
BaseRepresentation
bin11101110000000001001…
…01110001111000111010
310121201111201110001001200
432320000211301320322
5113221442300320442
62101333041155030
7133565240441514
oct16700045617072
93551451401050
101022212120122
11364577102566
1214614092ba76
137551805969b
1437692442bb4
151b8cb7e534c
hexee00971e3a

1022212120122 has 12 divisors (see below), whose sum is σ = 2214792926970. Its totient is φ = 340737373368.

The previous prime is 1022212120103. The next prime is 1022212120123. The reversal of 1022212120122 is 2210212122201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 827061106041 + 195151014081 = 909429^2 + 441759^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 56789562229 = 1022212120122 / (1 + 0 + 2 + 2 + 2 + 1 + 2 + 1 + 2 + 0 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 1022212120095 and 1022212120104.

It is not an unprimeable number, because it can be changed into a prime (1022212120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28394781097 + ... + 28394781132.

Almost surely, 21022212120122 is an apocalyptic number.

1022212120122 is an abundant number, since it is smaller than the sum of its proper divisors (1192580806848).

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

1022212120122 is a wasteful number, since it uses less digits than its factorization.

1022212120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56789562237 (or 56789562234 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022212120122 its reverse (2210212122201), we get a palindrome (3232424242323).

The spelling of 1022212120122 in words is "one trillion, twenty-two billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 56789562229 113579124458 170368686687 340737373374 511106060061 1022212120122