1302132120 has 256 divisors, whose sum is σ = 4302305280. Its totient is φ = 314265600.

The previous prime is 1302132107. The next prime is 1302132173. The reversal of 1302132120 is 212312031.

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 1302132120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4186765 + ... + 4187075.

It is an arithmetic number, because the mean of its divisors is an integer number (16805880).

Almost surely, 2^1302132120 is an apocalyptic number.

1302132120 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 1302132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151152640).

1302132120 is an abundant number, since it is smaller than the sum of its proper divisors (3000173160).

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

1302132120 is a wasteful number, since it uses less digits than its factorization.

1302132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1302132120 is about 36085.0678259027. The cubic root of 1302132120 is about 1091.9892188553.

Adding to 1302132120 its reverse (212312031), we get a palindrome (1514444151).

The spelling of 1302132120 in words is "one billion, three hundred two million, one hundred thirty-two thousand, one hundred twenty".