Search a number
-
+
12122100012 = 2231191834091
BaseRepresentation
bin10110100101000100…
…01001000100101100
31011021210212111002010
423102202021010230
5144311224200022
65322510401220
7606253102311
oct132242110454
934253774063
1012122100012
115160678180
122423800210
1311b2545559
1482dd22d08
154ae33d50c
hex2d288912c

12122100012 has 24 divisors (see below), whose sum is σ = 30856254912. Its totient is φ = 3673363600.

The previous prime is 12122100007. The next prime is 12122100017. The reversal of 12122100012 is 21000122121.

It is an interprime number because it is at equal distance from previous prime (12122100007) and next prime (12122100017).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12122100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45916914 + ... + 45917177.

It is an arithmetic number, because the mean of its divisors is an integer number (1285677288).

Almost surely, 212122100012 is an apocalyptic number.

12122100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122100012 is an abundant number, since it is smaller than the sum of its proper divisors (18734154900).

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

12122100012 is a wasteful number, since it uses less digits than its factorization.

12122100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91834109 (or 91834107 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12122100012 its reverse (21000122121), we get a palindrome (33122222133).

The spelling of 12122100012 in words is "twelve billion, one hundred twenty-two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 91834091 183668182 275502273 367336364 551004546 1010175001 1102009092 2020350002 3030525003 4040700004 6061050006 12122100012