1032114413200 has 60 divisors (see below), whose sum is σ = 2670397574068. Its totient is φ = 381088396800.

The previous prime is 1032114413179. The next prime is 1032114413227. The reversal of 1032114413200 is 23144112301.

It can be written as a sum of positive squares in 6 ways, for example, as 398600297104 + 633514116096 = 631348^2 + 795936^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99236571 + ... + 99246970.

Almost surely, 2^{1032114413200} is an apocalyptic number.

1032114413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032114413200 is an abundant number, since it is smaller than the sum of its proper divisors (1638283160868).

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

1032114413200 is a wasteful number, since it uses less digits than its factorization.

1032114413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198483572 (or 198483561 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1032114413200 its reverse (23144112301), we get a palindrome (1055258525501).

The spelling of 1032114413200 in words is "one trillion, thirty-two billion, one hundred fourteen million, four hundred thirteen thousand, two hundred".