11200200010120 has 128 divisors (see below), whose sum is σ = 28380674350080. Its totient is φ = 3941078400000.

The previous prime is 11200200010099. The next prime is 11200200010187. The reversal of 11200200010120 is 2101000200211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11200200010097 and 11200200010106.

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, 198201870 + ... + 198258370.

It is an arithmetic number, because the mean of its divisors is an integer number (221724018360).

Almost surely, 2^{11200200010120} is an apocalyptic number.

11200200010120 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 11200200010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190337175040).

11200200010120 is an abundant number, since it is smaller than the sum of its proper divisors (17180474339960).

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

11200200010120 is a wasteful number, since it uses less digits than its factorization.

11200200010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71087 (or 71083 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11200200010120 its reverse (2101000200211), we get a palindrome (13301200210331).

The spelling of 11200200010120 in words is "eleven trillion, two hundred billion, two hundred million, ten thousand, one hundred twenty".