11121002211200 has 576 divisors, whose sum is σ = 33318900735120. Its totient is φ = 3653856460800.

The previous prime is 11121002211031. The next prime is 11121002211287. The reversal of 11121002211200 is 211220012111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 357331640 + ... + 357362760.

Almost surely, 2^{11121002211200} is an apocalyptic number.

11121002211200 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 11121002211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16659450367560).

11121002211200 is an abundant number, since it is smaller than the sum of its proper divisors (22197898523920).

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

11121002211200 is a wasteful number, since it uses less digits than its factorization.

11121002211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31255 (or 31231 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11121002211200 its reverse (211220012111), we get a palindrome (11332222223311).

The spelling of 11121002211200 in words is "eleven trillion, one hundred twenty-one billion, two million, two hundred eleven thousand, two hundred".