1100334312400 has 120 divisors (see below), whose sum is σ = 2715630394880. Its totient is φ = 428138887680.

The previous prime is 1100334312397. The next prime is 1100334312421. The reversal of 1100334312400 is 42134330011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126195241 + ... + 126203959.

Almost surely, 2^{1100334312400} is an apocalyptic number.

1100334312400 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 1100334312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357815197440).

1100334312400 is an abundant number, since it is smaller than the sum of its proper divisors (1615296082480).

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

1100334312400 is a wasteful number, since it uses less digits than its factorization.

1100334312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17301 (or 17290 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1100334312400 its reverse (42134330011), we get a palindrome (1142468642411).

The spelling of 1100334312400 in words is "one trillion, one hundred billion, three hundred thirty-four million, three hundred twelve thousand, four hundred".