1205524242416 has 80 divisors (see below), whose sum is σ = 2530370858400. Its totient is φ = 553080597504.

The previous prime is 1205524242413. The next prime is 1205524242437. The reversal of 1205524242416 is 6142424255021.

It is a self number, because there is not a number n which added to its sum of digits gives 1205524242416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205524242413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148514390 + ... + 148522506.

It is an arithmetic number, because the mean of its divisors is an integer number (31629635730).

Almost surely, 2^{1205524242416} is an apocalyptic number.

1205524242416 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 1205524242416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265185429200).

1205524242416 is an abundant number, since it is smaller than the sum of its proper divisors (1324846615984).

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

1205524242416 is a wasteful number, since it uses less digits than its factorization.

1205524242416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12306 (or 12300 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 1205524242416 its reverse (6142424255021), we get a palindrome (7347948497437).

The spelling of 1205524242416 in words is "one trillion, two hundred five billion, five hundred twenty-four million, two hundred forty-two thousand, four hundred sixteen".