1303002120 has 128 divisors (see below), whose sum is σ = 4558752000. Its totient is φ = 297819648.

The previous prime is 1303002109. The next prime is 1303002139. The reversal of 1303002120 is 212003031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1303002096 and 1303002105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25332 + ... + 56988.

It is an arithmetic number, because the mean of its divisors is an integer number (35615250).

Almost surely, 2^1303002120 is an apocalyptic number.

1303002120 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 1303002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279376000).

1303002120 is an abundant number, since it is smaller than the sum of its proper divisors (3255749880).

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

1303002120 is a wasteful number, since it uses less digits than its factorization.

1303002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31692 (or 31674 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1303002120 is about 36097.1206607951. The cubic root of 1303002120 is about 1092.2323634388.

Adding to 1303002120 its reverse (212003031), we get a palindrome (1515005151).

The spelling of 1303002120 in words is "one billion, three hundred three million, two thousand, one hundred twenty".