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121121221020122 = 2174127121183093
BaseRepresentation
bin11011100010100010111011…
…010110101000100111011010
3120212212002001010221022122102
4123202202323112220213122
5111333422230040120442
61105334153142323402
734340501524462061
oct3342427326504732
9525762033838572
10121121221020122
1135658248707764
121170212ba29562
1352778b385388b
1421ca426a611d8
15e00993161232
hex6e28bb5a89da

121121221020122 has 48 divisors (see below), whose sum is σ = 197790937393896. Its totient is φ = 55402778649600.

The previous prime is 121121221020103. The next prime is 121121221020131. The reversal of 121121221020122 is 221020122121121.

It can be written as a sum of positive squares in 4 ways, for example, as 81384196499761 + 39737024520361 = 9021319^2 + 6303731^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121121221020094 and 121121221020103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101785208 + ... + 102968300.

Almost surely, 2121121221020122 is an apocalyptic number.

121121221020122 is a deficient number, since it is larger than the sum of its proper divisors (76669716373774).

121121221020122 is a wasteful number, since it uses less digits than its factorization.

121121221020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183695 (or 1183424 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121121221020122 its reverse (221020122121121), we get a palindrome (342141343141243).

The spelling of 121121221020122 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred twenty-one million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 17 34 41 82 271 542 697 1394 4607 9214 11111 22222 73441 146882 188887 377774 1183093 1248497 2366186 2496994 3011081 6022162 20112581 40225162 48506813 51188377 97013626 102376754 320618203 641236406 824615821 1649231642 5450509451 10901018902 13145346323 26290692646 86887533013 173775066026 223470887491 446941774982 1477088061221 2954176122442 3562388853533 7124777707066 60560610510061 121121221020122