212404104 has 96 divisors (see below), whose sum is σ = 630115200. Its totient is φ = 64103040.

The previous prime is 212404081. The next prime is 212404117. The reversal of 212404104 is 401404212.

212404104 is a `hidden beast` number, since 212 + 40 + 410 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295057 + ... + 295775.

It is an arithmetic number, because the mean of its divisors is an integer number (6563700).

Almost surely, 2^212404104 is an apocalyptic number.

212404104 is a gapful number since it is divisible by the number (24) 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 212404104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315057600).

212404104 is an abundant number, since it is smaller than the sum of its proper divisors (417711096).

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

212404104 is a wasteful number, since it uses less digits than its factorization.

212404104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212404104 is about 14574.0901602810. The cubic root of 212404104 is about 596.6518175443.

Adding to 212404104 its reverse (401404212), we get a palindrome (613808316).

The spelling of 212404104 in words is "two hundred twelve million, four hundred four thousand, one hundred four".