11211480 has 128 divisors (see below), whose sum is σ = 42739200. Its totient is φ = 2560896.

The previous prime is 11211479. The next prime is 11211493. The reversal of 11211480 is 8411211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6819 + ... + 8301.

It is an arithmetic number, because the mean of its divisors is an integer number (333900).

Almost surely, 2^11211480 is an apocalyptic number.

11211480 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 11211480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21369600).

11211480 is an abundant number, since it is smaller than the sum of its proper divisors (31527720).

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

11211480 is a wasteful number, since it uses less digits than its factorization.

11211480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 11211480 is about 3348.3548199078. The cubic root of 11211480 is about 223.8142060572.

Adding to 11211480 its reverse (8411211), we get a palindrome (19622691).

It can be divided in two parts, 1121 and 1480, that added together give a square (2601 = 51²).

The spelling of 11211480 in words is "eleven million, two hundred eleven thousand, four hundred eighty".