1312224100 has 72 divisors (see below), whose sum is σ = 3112300800. Its totient is φ = 476265600.

The previous prime is 1312224091. The next prime is 1312224143. The reversal of 1312224100 is 14222131.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 911181 + ... + 912619.

It is an arithmetic number, because the mean of its divisors is an integer number (43226400).

Almost surely, 2^1312224100 is an apocalyptic number.

1312224100 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 1312224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556150400).

1312224100 is an abundant number, since it is smaller than the sum of its proper divisors (1800076700).

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

1312224100 is a wasteful number, since it uses less digits than its factorization.

1312224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1312224100 is about 36224.6338835881. The cubic root of 1312224100 is about 1094.8030615430.

Adding to 1312224100 its reverse (14222131), we get a palindrome (1326446231).

The spelling of 1312224100 in words is "one billion, three hundred twelve million, two hundred twenty-four thousand, one hundred".