1205034144 has 24 divisors (see below), whose sum is σ = 3163214880. Its totient is φ = 401678016.

The previous prime is 1205034143. The next prime is 1205034197. The reversal of 1205034144 is 4414305021.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1205034143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6276124 + ... + 6276315.

It is an arithmetic number, because the mean of its divisors is an integer number (131800620).

Almost surely, 2^1205034144 is an apocalyptic number.

It is an amenable number.

1205034144 is an abundant number, since it is smaller than the sum of its proper divisors (1958180736).

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

1205034144 is a wasteful number, since it uses less digits than its factorization.

1205034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12552452 (or 12552444 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1205034144 is about 34713.6017146017. The cubic root of 1205034144 is about 1064.1424894441.

Adding to 1205034144 its reverse (4414305021), we get a palindrome (5619339165).

The spelling of 1205034144 in words is "one billion, two hundred five million, thirty-four thousand, one hundred forty-four".