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12014332000000 = 2856112103241
BaseRepresentation
bin1010111011010100110111…
…1111011011011100000000
31120112120002110021010202021
42232311031333123130000
53033320322443000000
641315150302331224
72350002230006041
oct256651577333400
946476073233667
1012014332000000
113912282223600
12142055b589b14
13691c3ca21965
142d76d51d88c8
1515c7c128411a
hexaed4dfdb700

12014332000000 has 756 divisors, whose sum is σ = 33407634564304. Its totient is φ = 4308480000000.

The previous prime is 12014331999959. The next prime is 12014332000001. The reversal of 12014332000000 is 23341021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014332000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 49851999880 + ... + 49852000120.

Almost surely, 212014332000000 is an apocalyptic number.

12014332000000 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 12014332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703817282152).

12014332000000 is an abundant number, since it is smaller than the sum of its proper divisors (21393302564304).

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

12014332000000 is an frugal number, since it uses more digits than its factorization.

12014332000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12014332000000 its reverse (23341021), we get a palindrome (12014355341021).

The spelling of 12014332000000 in words is "twelve trillion, fourteen billion, three hundred thirty-two million", and thus it is an aban number.