11220012112000 has 128 divisors (see below), whose sum is σ = 28576141055280. Its totient is φ = 4378541056000.

The previous prime is 11220012111947. The next prime is 11220012112003. The reversal of 11220012112000 is 21121002211.

It can be written as a sum of positive squares in 8 ways, for example, as 1601925611584 + 9618086500416 = 1265672^2 + 3101304^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11220012112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7895839 + ... + 9207838.

Almost surely, 2^{11220012112000} is an apocalyptic number.

11220012112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220012112000 is an abundant number, since it is smaller than the sum of its proper divisors (17356128943280).

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

11220012112000 is an equidigital number, since it uses as much as digits as its factorization.

11220012112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17103747 (or 17103725 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11220012112000 its reverse (21121002211), we get a palindrome (11241133114211).

The spelling of 11220012112000 in words is "eleven trillion, two hundred twenty billion, twelve million, one hundred twelve thousand".