11434231142200 has 96 divisors (see below), whose sum is σ = 26707353566400. Its totient is φ = 4552584181760.

The previous prime is 11434231142183. The next prime is 11434231142221. The reversal of 11434231142200 is 224113243411.

It is a happy number.

It is a congruent number.

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, 149501169 + ... + 149577631.

It is an arithmetic number, because the mean of its divisors is an integer number (278201599650).

Almost surely, 2^{11434231142200} is an apocalyptic number.

11434231142200 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 11434231142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353676783200).

11434231142200 is an abundant number, since it is smaller than the sum of its proper divisors (15273122424200).

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

11434231142200 is a wasteful number, since it uses less digits than its factorization.

11434231142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79921 (or 79912 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11434231142200 its reverse (224113243411), we get a palindrome (11658344385611).

The spelling of 11434231142200 in words is "eleven trillion, four hundred thirty-four billion, two hundred thirty-one million, one hundred forty-two thousand, two hundred".