11034202234000 has 960 divisors, whose sum is σ = 32144992588800. Its totient is φ = 3647255040000.

The previous prime is 11034202233949. The next prime is 11034202234001. The reversal of 11034202234000 is 43220243011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11034202234001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13439953590 + ... + 13439954410.

It is an arithmetic number, because the mean of its divisors is an integer number (33484367280).

Almost surely, 2^{11034202234000} is an apocalyptic number.

11034202234000 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 11034202234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16072496294400).

11034202234000 is an abundant number, since it is smaller than the sum of its proper divisors (21110790354800).

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

11034202234000 is a wasteful number, since it uses less digits than its factorization.

11034202234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11034202234000 its reverse (43220243011), we get a palindrome (11077422477011).

The spelling of 11034202234000 in words is "eleven trillion, thirty-four billion, two hundred two million, two hundred thirty-four thousand".