11200201223120 has 320 divisors, whose sum is σ = 33164317347840. Its totient is φ = 3421484236800.

The previous prime is 11200201223093. The next prime is 11200201223143. The reversal of 11200201223120 is 2132210200211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1222591340 + ... + 1222600500.

It is an arithmetic number, because the mean of its divisors is an integer number (103638491712).

Almost surely, 2^{11200201223120} is an apocalyptic number.

11200201223120 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 11200201223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582158673920).

11200201223120 is an abundant number, since it is smaller than the sum of its proper divisors (21964116124720).

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

11200201223120 is a wasteful number, since it uses less digits than its factorization.

11200201223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15014 (or 15008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11200201223120 its reverse (2132210200211), we get a palindrome (13332411423331).

The spelling of 11200201223120 in words is "eleven trillion, two hundred billion, two hundred one million, two hundred twenty-three thousand, one hundred twenty".