11022112000 has 288 divisors, whose sum is σ = 29141618688. Its totient is φ = 4147200000.

The previous prime is 11022111977. The next prime is 11022112007. The reversal of 11022112000 is 21122011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022112007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 40671865 + ... + 40672135.

It is an arithmetic number, because the mean of its divisors is an integer number (101186176).

Almost surely, 2^11022112000 is an apocalyptic number.

11022112000 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 11022112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570809344).

11022112000 is an abundant number, since it is smaller than the sum of its proper divisors (18119506688).

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

11022112000 is an equidigital number, since it uses as much as digits as its factorization.

11022112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11022112000 its reverse (21122011), we get a palindrome (11043234011).

It can be divided in two parts, 110221 and 12000, that added together give a palindrome (122221).

The spelling of 11022112000 in words is "eleven billion, twenty-two million, one hundred twelve thousand".