11217888 has 72 divisors (see below), whose sum is σ = 34810776. Its totient is φ = 3398400.

The previous prime is 11217881. The next prime is 11217893. The reversal of 11217888 is 88871211.

11217888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11217888² = 251682022361088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11217881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398 + ... + 4938.

It is an arithmetic number, because the mean of its divisors is an integer number (483483).

Almost surely, 2^11217888 is an apocalyptic number.

11217888 is a gapful number since it is divisible by the number (18) 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 11217888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17405388).

11217888 is an abundant number, since it is smaller than the sum of its proper divisors (23592888).

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

11217888 is a wasteful number, since it uses less digits than its factorization.

11217888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3557 counting only the distinct ones).

The product of its digits is 7168, while the sum is 36.

The square root of 11217888 is about 3349.3115710546. The cubic root of 11217888 is about 223.8568387955.

It can be divided in two parts, 1121 and 7888, that added together give a palindrome (9009).

The spelling of 11217888 in words is "eleven million, two hundred seventeen thousand, eight hundred eighty-eight".