11034121123200 has 192 divisors, whose sum is σ = 41535584766720. Its totient is φ = 2522084812800.

The previous prime is 11034121123177. The next prime is 11034121123211. The reversal of 11034121123200 is 232112143011.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11034121123200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 82031916 + ... + 82166315.

It is an arithmetic number, because the mean of its divisors is an integer number (216331170660).

Almost surely, 2^{11034121123200} is an apocalyptic number.

11034121123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11034121123200 is an abundant number, since it is smaller than the sum of its proper divisors (30501463643520).

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

11034121123200 is a wasteful number, since it uses less digits than its factorization.

11034121123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164198265 (or 164198248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11034121123200 its reverse (232112143011), we get a palindrome (11266233266211).

The spelling of 11034121123200 in words is "eleven trillion, thirty-four billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred".