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12312112320 = 263351817873
BaseRepresentation
bin10110111011101101…
…11110110011000000
31011210001102002222000
423131312332303000
5200203400043240
65353415144000
7614051141124
oct133566766300
934701362860
1012312112320
115248959242
122477375000
131212a13781
1484b265584
154c0d73430
hex2dddbecc0

12312112320 has 224 divisors, whose sum is σ = 43679912640. Its totient is φ = 3264675840.

The previous prime is 12312112301. The next prime is 12312112363. The reversal of 12312112320 is 2321121321.

12312112320 is a `hidden beast` number, since 1 + 231 + 2 + 112 + 320 = 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 = 12312112293 and 12312112302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1559904 + ... + 1567776.

It is an arithmetic number, because the mean of its divisors is an integer number (194999610).

Almost surely, 212312112320 is an apocalyptic number.

12312112320 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 12312112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21839956320).

12312112320 is an abundant number, since it is smaller than the sum of its proper divisors (31367800320).

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

12312112320 is a wasteful number, since it uses less digits than its factorization.

12312112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12312112320 its reverse (2321121321), we get a palindrome (14633233641).

Subtracting from 12312112320 its reverse (2321121321), we obtain a palindrome (9990990999).

The spelling of 12312112320 in words is "twelve billion, three hundred twelve million, one hundred twelve thousand, three hundred twenty".