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12342330000 = 24325471113137
BaseRepresentation
bin10110111111010100…
…10000001010010000
31011212011021022211100
423133222100022100
5200234114030000
65400414544400
7614566034250
oct133752201220
934764238740
1012342330000
115263a18230
122485508100
131219063860
1485128d960
154c3841a00
hex2dfa90290

12342330000 has 1200 divisors, whose sum is σ = 58376013696. Its totient is φ = 2350080000.

The previous prime is 12342329977. The next prime is 12342330017. The reversal of 12342330000 is 3324321.

Added to its reverse (3324321) it gives a square (12345654321 = 1111112).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90089932 + ... + 90090068.

Almost surely, 212342330000 is an apocalyptic number.

12342330000 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 12342330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29188006848).

12342330000 is an abundant number, since it is smaller than the sum of its proper divisors (46033683696).

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

12342330000 is a wasteful number, since it uses less digits than its factorization.

12342330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12342330000 its reverse (3324321), we get a palindrome (12345654321).

The spelling of 12342330000 in words is "twelve billion, three hundred forty-two million, three hundred thirty thousand".