1413123120 has 120 divisors (see below), whose sum is σ = 4752820800. Its totient is φ = 376270848.

The previous prime is 1413123109. The next prime is 1413123137. The reversal of 1413123120 is 213213141.

1413123120 is a `hidden beast` number, since 1 + 41 + 312 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1413123093 and 1413123102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747136 + ... + 749024.

It is an arithmetic number, because the mean of its divisors is an integer number (39606840).

Almost surely, 2^1413123120 is an apocalyptic number.

1413123120 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 1413123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376410400).

1413123120 is an abundant number, since it is smaller than the sum of its proper divisors (3339697680).

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

1413123120 is a wasteful number, since it uses less digits than its factorization.

1413123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1413123120 is about 37591.5298970393. The cubic root of 1413123120 is about 1122.1734792337.

Adding to 1413123120 its reverse (213213141), we get a palindrome (1626336261).

The spelling of 1413123120 in words is "one billion, four hundred thirteen million, one hundred twenty-three thousand, one hundred twenty".