1301322240 has 320 divisors, whose sum is σ = 4708091520. Its totient is φ = 340623360.

The previous prime is 1301322203. The next prime is 1301322241. The reversal of 1301322240 is 422231031.

1301322240 is a `hidden beast` number, since 1 + 301 + 322 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (1301322241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4630900 + ... + 4631180.

It is an arithmetic number, because the mean of its divisors is an integer number (14712786).

Almost surely, 2^1301322240 is an apocalyptic number.

1301322240 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 1301322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354045760).

1301322240 is an abundant number, since it is smaller than the sum of its proper divisors (3406769280).

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

1301322240 is an equidigital number, since it uses as much as digits as its factorization.

1301322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1301322240 is about 36073.8442642311. The cubic root of 1301322240 is about 1091.7627790470.

Adding to 1301322240 its reverse (422231031), we get a palindrome (1723553271).

It can be divided in two parts, 13013 and 22240, that added together give a palindrome (35253).

The spelling of 1301322240 in words is "one billion, three hundred one million, three hundred twenty-two thousand, two hundred forty".