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12323200120 = 23572111967449
BaseRepresentation
bin10110111101000010…
…10001110001111000
31011210211021102120021
423132201101301320
5200214214400440
65354452540224
7614244321100
oct133641216170
934724242507
1012323200120
115254141710
12247b021674
1312150c64ba
1484c910200
154c1d1384a
hex2de851c78

12323200120 has 384 divisors, whose sum is σ = 37674720000. Its totient is φ = 3576545280.

The previous prime is 12323200117. The next prime is 12323200151. The reversal of 12323200120 is 2100232321.

12323200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123232001202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12323200094 and 12323200103.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 27445656 + ... + 27446104.

It is an arithmetic number, because the mean of its divisors is an integer number (98111250).

Almost surely, 212323200120 is an apocalyptic number.

12323200120 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 12323200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837360000).

12323200120 is an abundant number, since it is smaller than the sum of its proper divisors (25351519880).

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

12323200120 is a wasteful number, since it uses less digits than its factorization.

12323200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12323200120 its reverse (2100232321), we get a palindrome (14423432441).

The spelling of 12323200120 in words is "twelve billion, three hundred twenty-three million, two hundred thousand, one hundred twenty".