Search a number
-
+
12105240000 = 26354714411
BaseRepresentation
bin10110100011000011…
…10100110111000000
31011020122010220111020
423101201310313000
5144242420140000
65321105145440
7605656561620
oct132141646700
934218126436
1012105240000
115152101a87
12241a02b280
1311abbc1409
1482b9b4880
154acb0cba0
hex2d1874dc0

12105240000 has 280 divisors, whose sum is σ = 45743457408. Its totient is φ = 2766720000.

The previous prime is 12105239983. The next prime is 12105240011. The reversal of 12105240000 is 4250121.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (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, 832795 + ... + 847205.

Almost surely, 212105240000 is an apocalyptic number.

12105240000 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 12105240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22871728704).

12105240000 is an abundant number, since it is smaller than the sum of its proper divisors (33638217408).

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

12105240000 is an equidigital number, since it uses as much as digits as its factorization.

12105240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14453 (or 14428 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 12105240000 its reverse (4250121), we get a palindrome (12109490121).

The spelling of 12105240000 in words is "twelve billion, one hundred five million, two hundred forty thousand".