11134213411200 has 384 divisors, whose sum is σ = 40570762947840. Its totient is φ = 2661184512000.

The previous prime is 11134213411199. The next prime is 11134213411213. The reversal of 11134213411200 is 211431243111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11134213411200² (a number of 27 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6755082 + ... + 8240118.

It is an arithmetic number, because the mean of its divisors is an integer number (105653028510).

Almost surely, 2^{11134213411200} is an apocalyptic number.

11134213411200 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 11134213411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20285381473920).

11134213411200 is an abundant number, since it is smaller than the sum of its proper divisors (29436549536640).

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

11134213411200 is a wasteful number, since it uses less digits than its factorization.

11134213411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485146 (or 1485129 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11134213411200 its reverse (211431243111), we get a palindrome (11345644654311).

The spelling of 11134213411200 in words is "eleven trillion, one hundred thirty-four billion, two hundred thirteen million, four hundred eleven thousand, two hundred".