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12321210000 = 243541137337
BaseRepresentation
bin10110111100110011…
…01011111010010000
31011210200112022122010
423132121223322100
5200213212210000
65354342142520
7614221362021
oct133631537220
934720468563
1012321210000
115253002490
12247a421a40
13121487a708
1484c552c48
154c1a6dd50
hex2de66be90

12321210000 has 200 divisors, whose sum is σ = 43391535264. Its totient is φ = 2986880000.

The previous prime is 12321209993. The next prime is 12321210007. The reversal of 12321210000 is 1212321.

It is an interprime number because it is at equal distance from previous prime (12321209993) and next prime (12321210007).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12321210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 311332 + ... + 348668.

Almost surely, 212321210000 is an apocalyptic number.

12321210000 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 12321210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21695767632).

12321210000 is an abundant number, since it is smaller than the sum of its proper divisors (31070325264).

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

12321210000 is a wasteful number, since it uses less digits than its factorization.

12321210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37379 (or 37358 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12321210000 its reverse (1212321), we get a palindrome (12322422321).

The spelling of 12321210000 in words is "twelve billion, three hundred twenty-one million, two hundred ten thousand".