1300120410 has 64 divisors (see below), whose sum is σ = 3308688000. Its totient is φ = 326034432.

The previous prime is 1300120397. The next prime is 1300120411. The reversal of 1300120410 is 140210031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1300120411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69766 + ... + 86414.

It is an arithmetic number, because the mean of its divisors is an integer number (51698250).

Almost surely, 2^1300120410 is an apocalyptic number.

1300120410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300120410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654344000).

1300120410 is an abundant number, since it is smaller than the sum of its proper divisors (2008567590).

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

1300120410 is a wasteful number, since it uses less digits than its factorization.

1300120410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16815.

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

The square root of 1300120410 is about 36057.1825022422. The cubic root of 1300120410 is about 1091.4265780765.

Adding to 1300120410 its reverse (140210031), we get a palindrome (1440330441).

It can be divided in two parts, 13001 and 20410, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 1300120410 in words is "one billion, three hundred million, one hundred twenty thousand, four hundred ten".