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1022212120121 = 17182293298597
BaseRepresentation
bin11101110000000001001…
…01110001111000111001
310121201111201110001001122
432320000211301320321
5113221442300320441
62101333041155025
7133565240441513
oct16700045617071
93551451401048
101022212120121
11364577102565
1214614092ba75
137551805969a
1437692442bb3
151b8cb7e534b
hexee00971e39

1022212120121 has 8 divisors (see below), whose sum is σ = 1082401947720. Its totient is φ = 962028926208.

The previous prime is 1022212120103. The next prime is 1022212120123. The reversal of 1022212120121 is 1210212122201.

It can be written as a sum of positive squares in 4 ways, for example, as 353030858896 + 669181261225 = 594164^2 + 818035^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1022212120121 - 218 = 1022211857977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1022212120121.

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 7 ways as a sum of consecutive naturals, for example, 1339406 + ... + 1959191.

It is an arithmetic number, because the mean of its divisors is an integer number (135300243465).

Almost surely, 21022212120121 is an apocalyptic number.

It is an amenable number.

1022212120121 is a deficient number, since it is larger than the sum of its proper divisors (60189827599).

1022212120121 is a wasteful number, since it uses less digits than its factorization.

1022212120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316843.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1022212120121 its reverse (1210212122201), we get a palindrome (2232424242322).

The spelling of 1022212120121 in words is "one trillion, twenty-two billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 17 18229 309893 3298597 56076149 60130124713 1022212120121