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12342363000 = 23353114281
BaseRepresentation
bin10110111111010100…
…11000001101111000
31011212011100000002120
423133222120031320
5200234121104000
65400415401240
7614566232412
oct133752301570
934764300076
1012342363000
115263a40000
122485523220
131219075896
1485129b9b2
154c384b6a0
hex2dfa98378

12342363000 has 320 divisors, whose sum is σ = 42509469600. Its totient is φ = 2981440000.

The previous prime is 12342362993. The next prime is 12342363041. The reversal of 12342363000 is 36324321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 43922860 + ... + 43923140.

Almost surely, 212342363000 is an apocalyptic number.

12342363000 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 12342363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21254734800).

12342363000 is an abundant number, since it is smaller than the sum of its proper divisors (30167106600).

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

12342363000 is an equidigital number, since it uses as much as digits as its factorization.

12342363000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12342363000 its reverse (36324321), we get a palindrome (12378687321).

The spelling of 12342363000 in words is "twelve billion, three hundred forty-two million, three hundred sixty-three thousand".