11412121434400 has 72 divisors (see below), whose sum is σ = 29071138953024. Its totient is φ = 4366376889600.

The previous prime is 11412121434353. The next prime is 11412121434479. The reversal of 11412121434400 is 443412121411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310093596 + ... + 310130395.

It is an arithmetic number, because the mean of its divisors is an integer number (403765818792).

Almost surely, 2^{11412121434400} is an apocalyptic number.

11412121434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11412121434400 is an abundant number, since it is smaller than the sum of its proper divisors (17659017518624).

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

11412121434400 is a wasteful number, since it uses less digits than its factorization.

11412121434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620224034 (or 620224021 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 11412121434400 its reverse (443412121411), we get a palindrome (11855533555811).

The spelling of 11412121434400 in words is "eleven trillion, four hundred twelve billion, one hundred twenty-one million, four hundred thirty-four thousand, four hundred".