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12231300312 = 233271119831399
BaseRepresentation
bin10110110010000101…
…01101010011011000
31011120102100102201200
423121002231103120
5200022203102222
65341411114200
7612050223450
oct133102552330
934512312650
1012231300312
115207282a60
1224542a2960
1311cc05a90a
1484062ad60
154b8c0deac
hex2d90ad4d8

12231300312 has 384 divisors, whose sum is σ = 44029440000. Its totient is φ = 2971365120.

The previous prime is 12231300299. The next prime is 12231300313. The reversal of 12231300312 is 21300313221.

12231300312 is a `hidden beast` number, since 1 + 22 + 31 + 300 + 312 = 666.

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 (12231300313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8742189 + ... + 8743587.

It is an arithmetic number, because the mean of its divisors is an integer number (114660000).

Almost surely, 212231300312 is an apocalyptic number.

12231300312 is a gapful number since it is divisible by the number (12) 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 12231300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720000).

12231300312 is an abundant number, since it is smaller than the sum of its proper divisors (31798139688).

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

12231300312 is a wasteful number, since it uses less digits than its factorization.

12231300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1524 counting only the distinct ones).

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

Adding to 12231300312 its reverse (21300313221), we get a palindrome (33531613533).

The spelling of 12231300312 in words is "twelve billion, two hundred thirty-one million, three hundred thousand, three hundred twelve".