1301091120 has 480 divisors, whose sum is σ = 5496076800. Its totient is φ = 281304576.

The previous prime is 1301091109. The next prime is 1301091137. The reversal of 1301091120 is 211901031.

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 = 1301091093 and 1301091102.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2010637 + ... + 2011283.

It is an arithmetic number, because the mean of its divisors is an integer number (11450160).

Almost surely, 2^1301091120 is an apocalyptic number.

1301091120 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 1301091120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748038400).

1301091120 is an abundant number, since it is smaller than the sum of its proper divisors (4194985680).

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

1301091120 is a wasteful number, since it uses less digits than its factorization.

1301091120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1301091120 is about 36070.6406929514. The cubic root of 1301091120 is about 1091.6981414178.

Adding to 1301091120 its reverse (211901031), we get a palindrome (1512992151).

The spelling of 1301091120 in words is "one billion, three hundred one million, ninety-one thousand, one hundred twenty".