1412161000 has 64 divisors (see below), whose sum is σ = 3333966480. Its totient is φ = 559820800.

The previous prime is 1412160977. The next prime is 1412161001. The reversal of 1412161000 is 1612141.

It can be written as a sum of positive squares in 8 ways, for example, as 23406244 + 1388754756 = 4838^2 + 37266^2 .

It is not an unprimeable number, because it can be changed into a prime (1412161001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106752 + ... + 119248.

Almost surely, 2^1412161000 is an apocalyptic number.

1412161000 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 1412161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666983240).

1412161000 is an abundant number, since it is smaller than the sum of its proper divisors (1921805480).

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

1412161000 is a wasteful number, since it uses less digits than its factorization.

1412161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12631 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1412161000 is about 37578.7306863869. The cubic root of 1412161000 is about 1121.9187454330.

Adding to 1412161000 its reverse (1612141), we get a palindrome (1413773141).

The spelling of 1412161000 in words is "one billion, four hundred twelve million, one hundred sixty-one thousand".