10412530205200 has 120 divisors (see below), whose sum is σ = 25478631048960. Its totient is φ = 4088218252800.

The previous prime is 10412530205177. The next prime is 10412530205263. The reversal of 10412530205200 is 250203521401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15265857 + ... + 15933343.

It is an arithmetic number, because the mean of its divisors is an integer number (212321925408).

Almost surely, 2^{10412530205200} is an apocalyptic number.

10412530205200 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 10412530205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12739315524480).

10412530205200 is an abundant number, since it is smaller than the sum of its proper divisors (15066100843760).

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

10412530205200 is a wasteful number, since it uses less digits than its factorization.

10412530205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668225 (or 668214 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 10412530205200 its reverse (250203521401), we get a palindrome (10662733726601).

The spelling of 10412530205200 in words is "ten trillion, four hundred twelve billion, five hundred thirty million, two hundred five thousand, two hundred".