11442110200000 has 84 divisors (see below), whose sum is σ = 28379980846224. Its totient is φ = 4576844000000.

The previous prime is 11442110199997. The next prime is 11442110200007. The reversal of 11442110200000 is 201124411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11442110200007) by changing a digit.

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, 28405276 + ... + 28805275.

It is an arithmetic number, because the mean of its divisors is an integer number (337856914836).

Almost surely, 2^{11442110200000} is an apocalyptic number.

11442110200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442110200000 is an abundant number, since it is smaller than the sum of its proper divisors (16937870646224).

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

11442110200000 is an frugal number, since it uses more digits than its factorization.

11442110200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57210588 (or 57210558 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11442110200000 its reverse (201124411), we get a palindrome (11442311324411).

The spelling of 11442110200000 in words is "eleven trillion, four hundred forty-two billion, one hundred ten million, two hundred thousand".