20111120 has 80 divisors (see below), whose sum is σ = 50086080. Its totient is φ = 7488000.

The previous prime is 20111093. The next prime is 20111137. The reversal of 20111120 is 2111102.

20111120 = T₂₀₁ + T₂₀₂ + ... + T₅₀₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 20111098 and 20111107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153455 + ... + 153585.

It is an arithmetic number, because the mean of its divisors is an integer number (626076).

Almost surely, 2^20111120 is an apocalyptic number.

20111120 is a gapful number since it is divisible by the number (20) 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 20111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043040).

20111120 is an abundant number, since it is smaller than the sum of its proper divisors (29974960).

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

20111120 is a wasteful number, since it uses less digits than its factorization.

20111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 20111120 is about 4484.5423400833. The cubic root of 20111120 is about 271.9435436460.

Adding to 20111120 its reverse (2111102), we get a palindrome (22222222).

The spelling of 20111120 in words is "twenty million, one hundred eleven thousand, one hundred twenty".