11141220 has 96 divisors (see below), whose sum is σ = 34070400. Its totient is φ = 2709504.

The previous prime is 11141167. The next prime is 11141237. The reversal of 11141220 is 2214111.

11141220 = T₃₇₉ + T₃₈₀ + ... + T₄₉₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11141196 and 11141205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32892 + ... + 33228.

It is an arithmetic number, because the mean of its divisors is an integer number (354900).

Almost surely, 2^11141220 is an apocalyptic number.

11141220 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 11141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17035200).

11141220 is an abundant number, since it is smaller than the sum of its proper divisors (22929180).

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

11141220 is a wasteful number, since it uses less digits than its factorization.

11141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11141220 is about 3337.8466112151. The cubic root of 11141220 is about 223.3456937294.

Adding to 11141220 its reverse (2214111), we get a palindrome (13355331).

The spelling of 11141220 in words is "eleven million, one hundred forty-one thousand, two hundred twenty".