1300112400 has 240 divisors, whose sum is σ = 4460393088. Its totient is φ = 322560000.

The previous prime is 1300112399. The next prime is 1300112461. The reversal of 1300112400 is 42110031.

It is a happy number.

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 (12).

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 47 ways as a sum of consecutive naturals, for example, 2060085 + ... + 2060715.

Almost surely, 2^1300112400 is an apocalyptic number.

1300112400 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 1300112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230196544).

1300112400 is an abundant number, since it is smaller than the sum of its proper divisors (3160280688).

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

1300112400 is a wasteful number, since it uses less digits than its factorization.

1300112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1300112400 is about 36057.0714285007. The cubic root of 1300112400 is about 1091.4243366572.

Adding to 1300112400 its reverse (42110031), we get a palindrome (1342222431).

The spelling of 1300112400 in words is "one billion, three hundred million, one hundred twelve thousand, four hundred".