11501220 has 48 divisors (see below), whose sum is σ = 32695488. Its totient is φ = 3020160.

The previous prime is 11501209. The next prime is 11501221. The reversal of 11501220 is 2210511.

It is a super-2 number, since 2×11501220² = 264556122976800, which contains 22 as substring.

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 = 11501196 and 11501205.

It is not an unprimeable number, because it can be changed into a prime (11501221) 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, 2590 + ... + 5450.

It is an arithmetic number, because the mean of its divisors is an integer number (681156).

Almost surely, 2^11501220 is an apocalyptic number.

11501220 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 11501220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16347744).

11501220 is an abundant number, since it is smaller than the sum of its proper divisors (21194268).

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

11501220 is a wasteful number, since it uses less digits than its factorization.

11501220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11501220 is about 3391.3448659787. The cubic root of 11501220 is about 225.7258533988.

Adding to 11501220 its reverse (2210511), we get a palindrome (13711731).

The spelling of 11501220 in words is "eleven million, five hundred one thousand, two hundred twenty".