1412412100 has 72 divisors (see below), whose sum is σ = 3434030208. Its totient is φ = 499708800.

The previous prime is 1412412047. The next prime is 1412412107. The reversal of 1412412100 is 12142141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1412412107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23349 + ... + 58051.

It is an arithmetic number, because the mean of its divisors is an integer number (47694864).

Almost surely, 2^1412412100 is an apocalyptic number.

1412412100 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 1412412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717015104).

1412412100 is an abundant number, since it is smaller than the sum of its proper divisors (2021618108).

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

1412412100 is a wasteful number, since it uses less digits than its factorization.

1412412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34765 (or 34758 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1412412100 is about 37582.0715235337. The cubic root of 1412412100 is about 1121.9852385834.

Adding to 1412412100 its reverse (12142141), we get a palindrome (1424554241).

It can be divided in two parts, 141241 and 2100, that added together give a palindrome (143341).

The spelling of 1412412100 in words is "one billion, four hundred twelve million, four hundred twelve thousand, one hundred".