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12180000000 = 28357729
BaseRepresentation
bin10110101011111110…
…00000110100000000
31011102211211002221010
423111333000310000
5144421040000000
65332335400520
7610555202040
oct132577006400
934384732833
1012180000000
115190324303
12243b083140
1311c15386bc
148378b5720
154b4478d50
hex2d5fc0d00

12180000000 has 576 divisors, whose sum is σ = 47906127360. Its totient is φ = 2688000000.

The previous prime is 12179999983. The next prime is 12180000031. The reversal of 12180000000 is 8121.

It is a happy number.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2900 × 2100 × 2000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419999986 + ... + 420000014.

It is an arithmetic number, because the mean of its divisors is an integer number (83170360).

Almost surely, 212180000000 is an apocalyptic number.

12180000000 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 12180000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23953063680).

12180000000 is an abundant number, since it is smaller than the sum of its proper divisors (35726127360).

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

12180000000 is an frugal number, since it uses more digits than its factorization.

12180000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12180000000 its reverse (8121), we get a palindrome (12180008121).

The spelling of 12180000000 in words is "twelve billion, one hundred eighty million", and thus it is an aban number.