11122120000 has 140 divisors (see below), whose sum is σ = 27862421796. Its totient is φ = 4403200000.

The previous prime is 11122119989. The next prime is 11122120039. The reversal of 11122120000 is 2122111.

It can be written as a sum of positive squares in 10 ways, for example, as 2719831104 + 8402288896 = 52152^2 + 91664^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4038624 + ... + 4041376.

Almost surely, 2^11122120000 is an apocalyptic number.

11122120000 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 11122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13931210898).

11122120000 is an abundant number, since it is smaller than the sum of its proper divisors (16740301796).

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

11122120000 is an equidigital number, since it uses as much as digits as its factorization.

11122120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2861 counting only the distinct ones).

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

Adding to 11122120000 its reverse (2122111), we get a palindrome (11124242111).

The spelling of 11122120000 in words is "eleven billion, one hundred twenty-two million, one hundred twenty thousand".