11224720 has 80 divisors (see below), whose sum is σ = 28873152. Its totient is φ = 4032000.

The previous prime is 11224679. The next prime is 11224721. The reversal of 11224720 is 2742211.

11224720 = T₃₅₁ + T₃₅₂ + ... + T₄₇₉.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (11224721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44595 + ... + 44845.

Almost surely, 2^11224720 is an apocalyptic number.

11224720 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 11224720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436576).

11224720 is an abundant number, since it is smaller than the sum of its proper divisors (17648432).

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

11224720 is a wasteful number, since it uses less digits than its factorization.

11224720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 11224720 is about 3350.3313268989. The cubic root of 11224720 is about 223.9022745480.

Adding to 11224720 its reverse (2742211), we get a palindrome (13966931).

The spelling of 11224720 in words is "eleven million, two hundred twenty-four thousand, seven hundred twenty".