11200200122000 has 160 divisors (see below), whose sum is σ = 27503623405440. Its totient is φ = 4410430886400.

The previous prime is 11200200121991. The next prime is 11200200122029. The reversal of 11200200122000 is 22100200211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219332471 + ... + 219383529.

It is an arithmetic number, because the mean of its divisors is an integer number (171897646284).

Almost surely, 2^{11200200122000} is an apocalyptic number.

11200200122000 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 11200200122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751811702720).

11200200122000 is an abundant number, since it is smaller than the sum of its proper divisors (16303423283440).

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

11200200122000 is a wasteful number, since it uses less digits than its factorization.

11200200122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52786 (or 52770 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11200200122000 its reverse (22100200211), we get a palindrome (11222300322211).

The spelling of 11200200122000 in words is "eleven trillion, two hundred billion, two hundred million, one hundred twenty-two thousand".