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12222220102002 = 232679012227889
BaseRepresentation
bin1011000111011011010100…
…0101100110100101110010
31121021102200112101220221200
42301312311011212211302
53100222101321231002
641554451014032030
72401012002505011
oct261666505464562
947242615356850
1012222220102002
113992461684569
1214548b8948616
136a87203359c1
143037b6b76a78
15162ddbe9db1c
hexb1db5166972

12222220102002 has 12 divisors (see below), whose sum is σ = 26481476887710. Its totient is φ = 4074073367328.

The previous prime is 12222220101989. The next prime is 12222220102031. The reversal of 12222220102002 is 20020102222221.

12222220102002 is a `hidden beast` number, since 12 + 222 + 220 + 10 + 200 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12072574142721 + 149645959281 = 3474561^2 + 386841^2 .

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: 679012227889 = 12222220102002 / (1 + 2 + 2 + 2 + 2 + 2 + 2 + 0 + 1 + 0 + 2 + 0 + 0 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 339506113927 + ... + 339506113962.

Almost surely, 212222220102002 is an apocalyptic number.

12222220102002 is an abundant number, since it is smaller than the sum of its proper divisors (14259256785708).

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

12222220102002 is a wasteful number, since it uses less digits than its factorization.

12222220102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679012227897 (or 679012227894 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12222220102002 its reverse (20020102222221), we get a palindrome (32242322324223).

The spelling of 12222220102002 in words is "twelve trillion, two hundred twenty-two billion, two hundred twenty million, one hundred two thousand, two".

Divisors: 1 2 3 6 9 18 679012227889 1358024455778 2037036683667 4074073367334 6111110051001 12222220102002