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12123210100 = 2252121232101
BaseRepresentation
bin10110100101001100…
…11000000101110100
31011021212221212211111
423102212120011310
5144312020210400
65322550244404
7606265404601
oct132246300564
934255855744
1012123210100
115161266201
122424056704
1311b2843901
148301316a8
154ae4ac3ba
hex2d2998174

12123210100 has 18 divisors (see below), whose sum is σ = 26307366134. Its totient is φ = 4849284000.

The previous prime is 12123210097. The next prime is 12123210101. The reversal of 12123210100 is 101232121.

It can be written as a sum of positive squares in 3 ways, for example, as 534256996 + 11588953104 = 23114^2 + 107652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123210101) 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, 60615951 + ... + 60616150.

Almost surely, 212123210100 is an apocalyptic number.

12123210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123210100 is an abundant number, since it is smaller than the sum of its proper divisors (14184156034).

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

12123210100 is a wasteful number, since it uses less digits than its factorization.

12123210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121232115 (or 121232108 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12123210100 its reverse (101232121), we get a palindrome (12224442221).

The spelling of 12123210100 in words is "twelve billion, one hundred twenty-three million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 121232101 242464202 484928404 606160505 1212321010 2424642020 3030802525 6061605050 12123210100