1302205120 has 112 divisors (see below), whose sum is σ = 3207824928. Its totient is φ = 503193600.

The previous prime is 1302205097. The next prime is 1302205129. The reversal of 1302205120 is 215022031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1302205094 and 1302205103.

It is not an unprimeable number, because it can be changed into a prime (1302205129) by changing a digit.

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, 1389292 + ... + 1390228.

It is an arithmetic number, because the mean of its divisors is an integer number (28641294).

Almost surely, 2^1302205120 is an apocalyptic number.

1302205120 is a gapful number since it is divisible by the number (10) 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 1302205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603912464).

1302205120 is an abundant number, since it is smaller than the sum of its proper divisors (1905619808).

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

1302205120 is a wasteful number, since it uses less digits than its factorization.

1302205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1302205120 is about 36086.0793104488. The cubic root of 1302205120 is about 1092.0096248039.

Adding to 1302205120 its reverse (215022031), we get a palindrome (1517227151).

The spelling of 1302205120 in words is "one billion, three hundred two million, two hundred five thousand, one hundred twenty".