1300243120 has 80 divisors (see below), whose sum is σ = 3323358720. Its totient is φ = 469164800.

The previous prime is 1300243111. The next prime is 1300243163. The reversal of 1300243120 is 213420031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1300243120² = 3381264342214668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1300243094 and 1300243103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109641 + ... + 120919.

It is an arithmetic number, because the mean of its divisors is an integer number (41541984).

Almost surely, 2^1300243120 is an apocalyptic number.

1300243120 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 1300243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661679360).

1300243120 is an abundant number, since it is smaller than the sum of its proper divisors (2023115600).

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

1300243120 is a wasteful number, since it uses less digits than its factorization.

1300243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1300243120 is about 36058.8840648182. The cubic root of 1300243120 is about 1091.4609145736.

Adding to 1300243120 its reverse (213420031), we get a palindrome (1513663151).

Subtracting from 1300243120 its reverse (213420031), we obtain a square (1086823089 = 32967²).

The spelling of 1300243120 in words is "one billion, three hundred million, two hundred forty-three thousand, one hundred twenty".