121249184 has 96 divisors (see below), whose sum is σ = 296755200. Its totient is φ = 47589120.

The previous prime is 121249171. The next prime is 121249201. The reversal of 121249184 is 481942121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 121249184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131477 + ... + 132395.

It is an arithmetic number, because the mean of its divisors is an integer number (3091200).

Almost surely, 2^121249184 is an apocalyptic number.

121249184 is a gapful number since it is divisible by the number (14) 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 121249184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148377600).

121249184 is an abundant number, since it is smaller than the sum of its proper divisors (175506016).

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

121249184 is a wasteful number, since it uses less digits than its factorization.

121249184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 978 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 121249184 is about 11011.3207200590. The cubic root of 121249184 is about 494.9480393032.

The spelling of 121249184 in words is "one hundred twenty-one million, two hundred forty-nine thousand, one hundred eighty-four".