1310121120 has 192 divisors, whose sum is σ = 5145348096. Its totient is φ = 272225280.

The previous prime is 1310121103. The next prime is 1310121173. The reversal of 1310121120 is 211210131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1310121096 and 1310121105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19237 + ... + 54683.

It is an arithmetic number, because the mean of its divisors is an integer number (26798688).

Almost surely, 2^1310121120 is an apocalyptic number.

1310121120 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 1310121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572674048).

1310121120 is an abundant number, since it is smaller than the sum of its proper divisors (3835226976).

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

1310121120 is a wasteful number, since it uses less digits than its factorization.

1310121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35483 (or 35475 counting only the distinct ones).

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

The square root of 1310121120 is about 36195.5953121371. The cubic root of 1310121120 is about 1094.2179023569.

Adding to 1310121120 its reverse (211210131), we get a palindrome (1521331251).

The spelling of 1310121120 in words is "one billion, three hundred ten million, one hundred twenty-one thousand, one hundred twenty".