11001220111200 has 288 divisors, whose sum is σ = 41120351879040. Its totient is φ = 2526595891200.

The previous prime is 11001220111177. The next prime is 11001220111279. The reversal of 11001220111200 is 211102210011.

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 47 ways as a sum of consecutive naturals, for example, 10464529 + ... + 11467728.

It is an arithmetic number, because the mean of its divisors is an integer number (142778999580).

Almost surely, 2^{11001220111200} is an apocalyptic number.

11001220111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001220111200 is an abundant number, since it is smaller than the sum of its proper divisors (30119131767840).

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

11001220111200 is a wasteful number, since it uses less digits than its factorization.

11001220111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21932310 (or 21932297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11001220111200 its reverse (211102210011), we get a palindrome (11212322321211).

The spelling of 11001220111200 in words is "eleven trillion, one billion, two hundred twenty million, one hundred eleven thousand, two hundred".