1300947120 has 240 divisors, whose sum is σ = 4791470112. Its totient is φ = 313712640.

The previous prime is 1300947101. The next prime is 1300947127. The reversal of 1300947120 is 217490031.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1300947127) 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 47 ways as a sum of consecutive naturals, for example, 2193544 + ... + 2194136.

Almost surely, 2^1300947120 is an apocalyptic number.

1300947120 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 1300947120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395735056).

1300947120 is an abundant number, since it is smaller than the sum of its proper divisors (3490522992).

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

1300947120 is a wasteful number, since it uses less digits than its factorization.

1300947120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1300947120 is about 36068.6445545158. The cubic root of 1300947120 is about 1091.6578648812.

The spelling of 1300947120 in words is "one billion, three hundred million, nine hundred forty-seven thousand, one hundred twenty".