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12012100 = 2252120121
BaseRepresentation
bin101101110100…
…101001000100
3211121021111121
4231310221010
511033341400
61105243324
7204046462
oct55645104
924537447
1012012100
116864961
124033544
132647669
141849832
1510c421a
hexb74a44

12012100 has 18 divisors (see below), whose sum is σ = 26066474. Its totient is φ = 4804800.

The previous prime is 12012089. The next prime is 12012101. The reversal of 12012100 is 121021.

It can be written as a sum of positive squares in 3 ways, for example, as 1784896 + 10227204 = 1336^2 + 3198^2 .

It is not an unprimeable number, because it can be changed into a prime (12012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59961 + ... + 60160.

Almost surely, 212012100 is an apocalyptic number.

12012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012100 is an abundant number, since it is smaller than the sum of its proper divisors (14054374).

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

12012100 is a wasteful number, since it uses less digits than its factorization.

12012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120135 (or 120128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 12012100 is about 3465.8476596642. The cubic root of 12012100 is about 229.0197728965.

Adding to 12012100 its reverse (121021), we get a palindrome (12133121).

The spelling of 12012100 in words is "twelve million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120121 240242 480484 600605 1201210 2402420 3003025 6006050 12012100