212117004 has 144 divisors (see below), whose sum is σ = 621444096. Its totient is φ = 60393600.

The previous prime is 212116999. The next prime is 212117011. The reversal of 212117004 is 400711212.

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 47 ways as a sum of consecutive naturals, for example, 453979 + ... + 454445.

It is an arithmetic number, because the mean of its divisors is an integer number (4315584).

Almost surely, 2^212117004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212117004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310722048).

212117004 is an abundant number, since it is smaller than the sum of its proper divisors (409327092).

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

212117004 is a wasteful number, since it uses less digits than its factorization.

212117004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 212117004 is about 14564.2371581899. The cubic root of 212117004 is about 596.3828711173.

Adding to 212117004 its reverse (400711212), we get a palindrome (612828216).

It can be divided in two parts, 21 and 2117004, that added together give a square (2117025 = 1455²).

The spelling of 212117004 in words is "two hundred twelve million, one hundred seventeen thousand, four".