11022200112000 has 2048 divisors, whose sum is σ = 47037847633920. Its totient is φ = 2216902656000.

The previous prime is 11022200111987. The next prime is 11022200112023. The reversal of 11022200112000 is 21100222011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18587183704 + ... + 18587184296.

It is an arithmetic number, because the mean of its divisors is an integer number (22967699040).

Almost surely, 2^{11022200112000} is an apocalyptic number.

11022200112000 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 11022200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23518923816960).

11022200112000 is an abundant number, since it is smaller than the sum of its proper divisors (36015647521920).

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

11022200112000 is a wasteful number, since it uses less digits than its factorization.

11022200112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11022200112000 its reverse (21100222011), we get a palindrome (11043300334011).

It can be divided in two parts, 1102220011 and 2000, that added together give a palindrome (1102222011).

The spelling of 11022200112000 in words is "eleven trillion, twenty-two billion, two hundred million, one hundred twelve thousand".