11212520 has 64 divisors (see below), whose sum is σ = 29160000. Its totient is φ = 3834880.

The previous prime is 11212519. The next prime is 11212529. The reversal of 11212520 is 2521211.

11212520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11212495 and 11212504.

It is not an unprimeable number, because it can be changed into a prime (11212529) 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, 6731 + ... + 8229.

It is an arithmetic number, because the mean of its divisors is an integer number (455625).

Almost surely, 2^11212520 is an apocalyptic number.

11212520 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 11212520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580000).

11212520 is an abundant number, since it is smaller than the sum of its proper divisors (17947480).

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

11212520 is a wasteful number, since it uses less digits than its factorization.

11212520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 11212520 is about 3348.5101164548. The cubic root of 11212520 is about 223.8211263323.

Subtracting from 11212520 its product of nonzero digits (40), we obtain a triangular number (11212480 = T₄₇₃₅).

Adding to 11212520 its reverse (2521211), we get a palindrome (13733731).

The spelling of 11212520 in words is "eleven million, two hundred twelve thousand, five hundred twenty".