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12323301120 = 283451341223
BaseRepresentation
bin10110111101000011…
…01010011100000000
31011210211110120010000
423132201222130000
5200214231113440
65354455040000
7614245221414
oct133641523400
934724416100
1012323301120
115254200589
12247b070000
131215130470
1484c938d44
154c1d33730
hex2de86a700

12323301120 has 720 divisors, whose sum is σ = 48863308032. Its totient is φ = 2946170880.

The previous prime is 12323301061. The next prime is 12323301121. The reversal of 12323301120 is 2110332321.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 12323301093 and 12323301102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323301121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55261329 + ... + 55261551.

Almost surely, 212323301120 is an apocalyptic number.

12323301120 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 12323301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24431654016).

12323301120 is an abundant number, since it is smaller than the sum of its proper divisors (36540006912).

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

12323301120 is a wasteful number, since it uses less digits than its factorization.

12323301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12323301120 its reverse (2110332321), we get a palindrome (14433633441).

The spelling of 12323301120 in words is "twelve billion, three hundred twenty-three million, three hundred one thousand, one hundred twenty".