1205013120 has 64 divisors (see below), whose sum is σ = 3840985440. Its totient is φ = 321336320.

The previous prime is 1205013071. The next prime is 1205013163. The reversal of 1205013120 is 213105021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1205013120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311886 + ... + 315725.

Almost surely, 2^1205013120 is an apocalyptic number.

1205013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205013120 is an abundant number, since it is smaller than the sum of its proper divisors (2635972320).

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

1205013120 is an equidigital number, since it uses as much as digits as its factorization.

1205013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627633 (or 627621 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1205013120 is about 34713.2988924994. The cubic root of 1205013120 is about 1064.1363007780.

Adding to 1205013120 its reverse (213105021), we get a palindrome (1418118141).

The spelling of 1205013120 in words is "one billion, two hundred five million, thirteen thousand, one hundred twenty".