11221303123200 has 216 divisors, whose sum is σ = 37045475687808. Its totient is φ = 2991310192640.

The previous prime is 11221303123111. The next prime is 11221303123211. The reversal of 11221303123200 is 232130312211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56098564 + ... + 56298236.

It is an arithmetic number, because the mean of its divisors is an integer number (171506831888).

Almost surely, 2^{11221303123200} is an apocalyptic number.

11221303123200 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 11221303123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18522737843904).

11221303123200 is an abundant number, since it is smaller than the sum of its proper divisors (25824172564608).

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

11221303123200 is a wasteful number, since it uses less digits than its factorization.

11221303123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202629 (or 202610 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11221303123200 its reverse (232130312211), we get a palindrome (11453433435411).

The spelling of 11221303123200 in words is "eleven trillion, two hundred twenty-one billion, three hundred three million, one hundred twenty-three thousand, two hundred".