11134321222200 has 384 divisors, whose sum is σ = 38684401182720. Its totient is φ = 2625430579200.

The previous prime is 11134321222133. The next prime is 11134321222207. The reversal of 11134321222200 is 222212343111.

It is a super-3 number, since 3×11134321222200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134321222207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1085952274 + ... + 1085962526.

It is an arithmetic number, because the mean of its divisors is an integer number (100740628080).

Almost surely, 2^{11134321222200} is an apocalyptic number.

11134321222200 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 11134321222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19342200591360).

11134321222200 is an abundant number, since it is smaller than the sum of its proper divisors (27550079960520).

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

11134321222200 is a wasteful number, since it uses less digits than its factorization.

11134321222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14767 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11134321222200 its reverse (222212343111), we get a palindrome (11356533565311).

The spelling of 11134321222200 in words is "eleven trillion, one hundred thirty-four billion, three hundred twenty-one million, two hundred twenty-two thousand, two hundred".