Search a number
-
+
12000100122 = 2321069623641
BaseRepresentation
bin10110010110100001…
…01111111100011010
31010222022022020200200
423023100233330122
5144034011200442
65302431443030
7603242111433
oct131320577432
933868266620
1012000100122
1150a881a91a
1223aa986476
13119319b27a
1481ba4648a
154a379034c
hex2cb42ff1a

12000100122 has 24 divisors (see below), whose sum is σ = 26024580660. Its totient is φ = 3996285120.

The previous prime is 12000100117. The next prime is 12000100127. The reversal of 12000100122 is 22100100021.

It is an interprime number because it is at equal distance from previous prime (12000100117) and next prime (12000100127).

It can be written as a sum of positive squares in 2 ways, for example, as 11811559761 + 188540361 = 108681^2 + 13731^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12000100127) 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 11 ways as a sum of consecutive naturals, for example, 292579 + ... + 331062.

Almost surely, 212000100122 is an apocalyptic number.

12000100122 is an abundant number, since it is smaller than the sum of its proper divisors (14024480538).

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

12000100122 is a wasteful number, since it uses less digits than its factorization.

12000100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624718 (or 624715 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000100122 its reverse (22100100021), we get a palindrome (34100200143).

The spelling of 12000100122 in words is "twelve billion, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1069 2138 3207 6414 9621 19242 623641 1247282 1870923 3741846 5612769 11225538 666672229 1333344458 2000016687 4000033374 6000050061 12000100122