11045122000 has 120 divisors (see below), whose sum is σ = 29356386696. Its totient is φ = 4016320000.

The previous prime is 11045121991. The next prime is 11045122019. The reversal of 11045122000 is 22154011.

11045122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 570827664 + 10474294336 = 23892^2 + 102344^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 219180 + ... + 264820.

Almost surely, 2^11045122000 is an apocalyptic number.

11045122000 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 11045122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678193348).

11045122000 is an abundant number, since it is smaller than the sum of its proper divisors (18311264696).

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

11045122000 is a wasteful number, since it uses less digits than its factorization.

11045122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45686 (or 45659 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 11045122000 its reverse (22154011), we get a palindrome (11067276011).

The spelling of 11045122000 in words is "eleven billion, forty-five million, one hundred twenty-two thousand".