1300407120 has 240 divisors, whose sum is σ = 4798085760. Its totient is φ = 314164224.

The previous prime is 1300407107. The next prime is 1300407131. The reversal of 1300407120 is 217040031.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1300407093 and 1300407102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312574 + ... + 316706.

It is an arithmetic number, because the mean of its divisors is an integer number (19992024).

Almost surely, 2^1300407120 is an apocalyptic number.

1300407120 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 1300407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399042880).

1300407120 is an abundant number, since it is smaller than the sum of its proper divisors (3497678640).

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

1300407120 is a wasteful number, since it uses less digits than its factorization.

1300407120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4194 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1300407120 is about 36061.1580512884. The cubic root of 1300407120 is about 1091.5068013932.

Adding to 1300407120 its reverse (217040031), we get a palindrome (1517447151).

The spelling of 1300407120 in words is "one billion, three hundred million, four hundred seven thousand, one hundred twenty".