11011122000 has 120 divisors (see below), whose sum is σ = 38458241640. Its totient is φ = 2936294400.

The previous prime is 11011121983. The next prime is 11011122013. The reversal of 11011122000 is 22111011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 106750224 + 10904371776 = 10332^2 + 104424^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287865 + ... + 323864.

It is an arithmetic number, because the mean of its divisors is an integer number (320485347).

Almost surely, 2^11011122000 is an apocalyptic number.

11011122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011122000 is an abundant number, since it is smaller than the sum of its proper divisors (27447119640).

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

11011122000 is a wasteful number, since it uses less digits than its factorization.

11011122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611758 (or 611739 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11011122000 its reverse (22111011), we get a palindrome (11033233011).

The spelling of 11011122000 in words is "eleven billion, eleven million, one hundred twenty-two thousand".