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12123100440 = 23335117691327
BaseRepresentation
bin10110100101001011…
…11101010100011000
31011021212202022102000
423102211331110120
5144312003203230
65322544041000
7606264440103
oct132245752430
934255668360
1012123100440
1151611a0880
122424003160
1311b2805a19
1483010373a
154ae489b60
hex2d297d518

12123100440 has 256 divisors, whose sum is σ = 44174592000. Its totient is φ = 2932899840.

The previous prime is 12123100421. The next prime is 12123100447. The reversal of 12123100440 is 4400132121.

12123100440 is a `hidden beast` number, since 1 + 2 + 123 + 100 + 440 = 666.

12123100440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123100447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9135057 + ... + 9136383.

It is an arithmetic number, because the mean of its divisors is an integer number (172557000).

Almost surely, 212123100440 is an apocalyptic number.

12123100440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22087296000).

12123100440 is an abundant number, since it is smaller than the sum of its proper divisors (32051491560).

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

12123100440 is a wasteful number, since it uses less digits than its factorization.

12123100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12123100440 its reverse (4400132121), we get a palindrome (16523232561).

The spelling of 12123100440 in words is "twelve billion, one hundred twenty-three million, one hundred thousand, four hundred forty".