1461125120 has 272 divisors, whose sum is σ = 4403985600. Its totient is φ = 462422016.

The previous prime is 1461125047. The next prime is 1461125161. The reversal of 1461125120 is 215211641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112394234 + ... + 112394246.

Almost surely, 2^1461125120 is an apocalyptic number.

1461125120 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 1461125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201992800).

1461125120 is an abundant number, since it is smaller than the sum of its proper divisors (2942860480).

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

1461125120 is an frugal number, since it uses more digits than its factorization.

1461125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1461125120 is about 38224.6663818012. Note that the first 3 decimals coincide. The cubic root of 1461125120 is about 1134.7385322786.

Adding to 1461125120 its reverse (215211641), we get a palindrome (1676336761).

The spelling of 1461125120 in words is "one billion, four hundred sixty-one million, one hundred twenty-five thousand, one hundred twenty".