Search a number
-
+
12210211210122 = 232678345067229
BaseRepresentation
bin1011000110101110100101…
…0011010100001110001010
31121020021200121120000020100
42301223221103110032022
53100023003032210442
641545143225510230
72400105262555302
oct261535123241612
947207617500210
1012210211210122
1139883599aa332
121452507042376
136a75583a9b13
14302d97cc2602
15162937a7384c
hexb1ae94d438a

12210211210122 has 12 divisors (see below), whose sum is σ = 26455457621970. Its totient is φ = 4070070403368.

The previous prime is 12210211210121. The next prime is 12210211210151. The reversal of 12210211210122 is 22101211201221.

12210211210122 is a `hidden beast` number, since 1 + 221 + 0 + 211 + 210 + 1 + 22 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11851157387601 + 359053822521 = 3442551^2 + 599211^2 .

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: 678345067229 = 12210211210122 / (1 + 2 + 2 + 1 + 0 + 2 + 1 + 1 + 2 + 1 + 0 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 12210211210095 and 12210211210104.

It is not an unprimeable number, because it can be changed into a prime (12210211210121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 339172533597 + ... + 339172533632.

Almost surely, 212210211210122 is an apocalyptic number.

12210211210122 is an abundant number, since it is smaller than the sum of its proper divisors (14245246411848).

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

12210211210122 is a wasteful number, since it uses less digits than its factorization.

12210211210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678345067237 (or 678345067234 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12210211210122 its reverse (22101211201221), we get a palindrome (34311422411343).

The spelling of 12210211210122 in words is "twelve trillion, two hundred ten billion, two hundred eleven million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 678345067229 1356690134458 2035035201687 4070070403374 6105105605061 12210211210122