212404120 has 64 divisors (see below), whose sum is σ = 523519200. Its totient is φ = 77199360.

The previous prime is 212404117. The next prime is 212404123. The reversal of 212404120 is 21404212.

It is an interprime number because it is at equal distance from previous prime (212404117) and next prime (212404123).

It is a junction number, because it is equal to n+sod(n) for n = 212404094 and 212404103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212404123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14335 + ... + 25105.

Almost surely, 2^212404120 is an apocalyptic number.

212404120 is a gapful number since it is divisible by the number (20) 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 212404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261759600).

212404120 is an abundant number, since it is smaller than the sum of its proper divisors (311115080).

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

212404120 is a wasteful number, since it uses less digits than its factorization.

212404120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10828 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 212404120 is about 14574.0907092004. The cubic root of 212404120 is about 596.6518325259.

Adding to 212404120 its reverse (21404212), we get a palindrome (233808332).

The spelling of 212404120 in words is "two hundred twelve million, four hundred four thousand, one hundred twenty".