11223542110000 has 200 divisors, whose sum is σ = 29652306037200. Its totient is φ = 4080092160000.

The previous prime is 11223542109971. The next prime is 11223542110013. The reversal of 11223542110000 is 1124532211.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 432177016 + ... + 432202984.

It is an arithmetic number, because the mean of its divisors is an integer number (148261530186).

Almost surely, 2^{11223542110000} is an apocalyptic number.

11223542110000 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 11223542110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826153018600).

11223542110000 is an abundant number, since it is smaller than the sum of its proper divisors (18428763927200).

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

11223542110000 is a wasteful number, since it uses less digits than its factorization.

11223542110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29937 (or 29916 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 11223542110000 its reverse (1124532211), we get a palindrome (11224666642211).

The spelling of 11223542110000 in words is "eleven trillion, two hundred twenty-three billion, five hundred forty-two million, one hundred ten thousand".