12005200000 has 96 divisors (see below), whose sum is σ = 29894844420. Its totient is φ = 4801920000.

The previous prime is 12005199979. The next prime is 12005200013. The reversal of 12005200000 is 250021.

It can be written as a sum of positive squares in 6 ways, for example, as 5498519104 + 6506680896 = 74152^2 + 80664^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 12005200000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384994 + ... + 415006.

Almost surely, 2^12005200000 is an apocalyptic number.

12005200000 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 12005200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947422210).

12005200000 is an abundant number, since it is smaller than the sum of its proper divisors (17889644420).

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

12005200000 is an frugal number, since it uses more digits than its factorization.

12005200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30052 (or 30020 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 12005200000 its reverse (250021), we get a palindrome (12005450021).

It can be divided in two parts, 12005 and 200000, that multiplied together give a square (2401000000 = 49000²).

The spelling of 12005200000 in words is "twelve billion, five million, two hundred thousand".