1320102144 has 144 divisors (see below), whose sum is σ = 3922354240. Its totient is φ = 437944320.

The previous prime is 1320102131. The next prime is 1320102187. The reversal of 1320102144 is 4412010231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 2287584 + ... + 2288160.

Almost surely, 2^1320102144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961177120).

1320102144 is an abundant number, since it is smaller than the sum of its proper divisors (2602252096).

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

1320102144 is an equidigital number, since it uses as much as digits as its factorization.

1320102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1320102144 is about 36333.2099325122. The cubic root of 1320102144 is about 1096.9896047103.

Adding to 1320102144 its reverse (4412010231), we get a palindrome (5732112375).

The spelling of 1320102144 in words is "one billion, three hundred twenty million, one hundred two thousand, one hundred forty-four".