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12310044120 = 23335112935731
BaseRepresentation
bin10110111011011110…
…00101110111011000
31011202220112000221000
423131233011313120
5200202332402440
65353302545000
7614024435313
oct133557056730
934686460830
1012310044120
115247776390
122476738160
13121246b29a
1484ac8797a
154c0ab5730
hex2ddbc5dd8

12310044120 has 256 divisors, whose sum is σ = 46308672000. Its totient is φ = 2881267200.

The previous prime is 12310044119. The next prime is 12310044133. The reversal of 12310044120 is 2144001321.

12310044120 is a `hidden beast` number, since 123 + 100 + 441 + 2 + 0 = 666.

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 = 12310044093 and 12310044102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326655 + ... + 362385.

It is an arithmetic number, because the mean of its divisors is an integer number (180893250).

Almost surely, 212310044120 is an apocalyptic number.

12310044120 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 12310044120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154336000).

12310044120 is an abundant number, since it is smaller than the sum of its proper divisors (33998627880).

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

12310044120 is a wasteful number, since it uses less digits than its factorization.

12310044120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35791 (or 35781 counting only the distinct ones).

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

Adding to 12310044120 its reverse (2144001321), we get a palindrome (14454045441).

The spelling of 12310044120 in words is "twelve billion, three hundred ten million, forty-four thousand, one hundred twenty".