1301120000 has 220 divisors, whose sum is σ = 3453207120. Its totient is φ = 488448000.

The previous prime is 1301119993. The next prime is 1301120017. The reversal of 1301120000 is 211031.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1301120000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12159947 + ... + 12160053.

It is an arithmetic number, because the mean of its divisors is an integer number (15696396).

Almost surely, 2^1301120000 is an apocalyptic number.

1301120000 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 1301120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726603560).

1301120000 is an abundant number, since it is smaller than the sum of its proper divisors (2152087120).

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

1301120000 is an equidigital number, since it uses as much as digits as its factorization.

1301120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1301120000 is about 36071.0410163056. The cubic root of 1301120000 is about 1091.7062187432.

Adding to 1301120000 its reverse (211031), we get a palindrome (1301331031).

The spelling of 1301120000 in words is "one billion, three hundred one million, one hundred twenty thousand".