11021200112000 has 512 divisors, whose sum is σ = 30048551769600. Its totient is φ = 3995512012800.

The previous prime is 11021200111973. The next prime is 11021200112003. The reversal of 11021200112000 is 21100212011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021200112003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3628974482 + ... + 3628977518.

It is an arithmetic number, because the mean of its divisors is an integer number (58688577675).

Almost surely, 2^{11021200112000} is an apocalyptic number.

11021200112000 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 11021200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15024275884800).

11021200112000 is an abundant number, since it is smaller than the sum of its proper divisors (19027351657600).

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

11021200112000 is a wasteful number, since it uses less digits than its factorization.

11021200112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11021200112000 its reverse (21100212011), we get a palindrome (11042300324011).

The spelling of 11021200112000 in words is "eleven trillion, twenty-one billion, two hundred million, one hundred twelve thousand".