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BaseRepresentation
bin101110111101…
…110111000000
3212011111220000
4232331313000
511122441000
61115520000
7206436021
oct56756700
925144800
1012312000
116a4a208
124159000
13272100c
1418c6c48
151133000
hexbbddc0

12312000 has 280 divisors, whose sum is σ = 47945040. Its totient is φ = 3110400.

The previous prime is 12311989. The next prime is 12312011. The reversal of 12312000 is 21321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12311989) and next prime (12312011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647991 + ... + 648009.

Almost surely, 212312000 is an apocalyptic number.

12312000 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 12312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23972520).

12312000 is an abundant number, since it is smaller than the sum of its proper divisors (35633040).

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

12312000 is an equidigital number, since it uses as much as digits as its factorization.

12312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12312000 is about 3508.8459641312. The cubic root of 12312000 is about 230.9100678766.

Adding to 12312000 its reverse (21321), we get a palindrome (12333321).

The spelling of 12312000 in words is "twelve million, three hundred twelve thousand".