11989152 has 144 divisors (see below), whose sum is σ = 41146560. Its totient is φ = 3234816.

The previous prime is 11989129. The next prime is 11989163. The reversal of 11989152 is 25198911.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 38148 + ... + 38460.

It is an arithmetic number, because the mean of its divisors is an integer number (285740).

Almost surely, 2^11989152 is an apocalyptic number.

11989152 is a gapful number since it is divisible by the number (12) 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 11989152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20573280).

11989152 is an abundant number, since it is smaller than the sum of its proper divisors (29157408).

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

11989152 is a wasteful number, since it uses less digits than its factorization.

11989152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

The square root of 11989152 is about 3462.5354871828. The cubic root of 11989152 is about 228.8738396001.

The spelling of 11989152 in words is "eleven million, nine hundred eighty-nine thousand, one hundred fifty-two".