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1012120322122 = 272131922200673
BaseRepresentation
bin11101011101001110001…
…00101000000001001010
310120202110101221120202101
432232213010220001022
5113040310300301442
62052543415024014
7133060166535100
oct16564704500112
93522411846671
101012120322122
11360268599338
121441a506b00a
137459a33aa90
1436db6025c70
151b4da852cb7
hexeba712804a

1012120322122 has 72 divisors (see below), whose sum is σ = 2007265564836. Its totient is φ = 379325431296.

The previous prime is 1012120322053. The next prime is 1012120322149. The reversal of 1012120322122 is 2212230212101.

It can be written as a sum of positive squares in 2 ways, for example, as 748970815761 + 263149506361 = 865431^2 + 512981^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 1012120322122.

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 35 ways as a sum of consecutive naturals, for example, 640423 + ... + 1560250.

Almost surely, 21012120322122 is an apocalyptic number.

1012120322122 is a deficient number, since it is larger than the sum of its proper divisors (995145242714).

1012120322122 is a wasteful number, since it uses less digits than its factorization.

1012120322122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200740 (or 2200714 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1012120322122 its reverse (2212230212101), we get a palindrome (3224350534223).

The spelling of 1012120322122 in words is "one trillion, twelve billion, one hundred twenty million, three hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 13 14 19 26 38 49 91 98 133 182 247 266 361 494 637 722 931 1274 1729 1862 2527 3458 4693 5054 9386 12103 17689 24206 32851 35378 65702 229957 459914 2200673 4401346 15404711 28608749 30809422 41812787 57217498 83625574 107832977 200261243 215665954 292689509 400522486 543566231 585379018 794442953 1087132462 1401828701 1588885906 2048826563 2803657402 3804963617 4097653126 5561100671 7609927234 10327758389 11122201342 20655516778 26634745319 38927704697 53269490638 72294308723 77855409394 144588617446 506060161061 1012120322122