121444416 has 168 divisors, whose sum is σ = 370880640. Its totient is φ = 37914624.

The previous prime is 121444403. The next prime is 121444417. The reversal of 121444416 is 614444121.

121444416 is a `hidden beast` number, since 1 + 214 + 4 + 441 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121444416.

It is not an unprimeable number, because it can be changed into a prime (121444417) by changing a digit.

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, 1179021 + ... + 1179123.

Almost surely, 2^121444416 is an apocalyptic number.

121444416 is a gapful number since it is divisible by the number (16) 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 121444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185440320).

121444416 is an abundant number, since it is smaller than the sum of its proper divisors (249436224).

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

121444416 is a wasteful number, since it uses less digits than its factorization.

121444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 121444416 is about 11020.1822126497. The cubic root of 121444416 is about 495.2135472852.

Adding to 121444416 its reverse (614444121), we get a palindrome (735888537).

The spelling of 121444416 in words is "one hundred twenty-one million, four hundred forty-four thousand, four hundred sixteen".