220412412 has 144 divisors (see below), whose sum is σ = 666338400. Its totient is φ = 60641280.

The previous prime is 220412411. The next prime is 220412417. The reversal of 220412412 is 214214022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220412411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194664 + ... + 195792.

It is an arithmetic number, because the mean of its divisors is an integer number (4627350).

Almost surely, 2^220412412 is an apocalyptic number.

220412412 is a gapful number since it is divisible by the number (22) 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 220412412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333169200).

220412412 is an abundant number, since it is smaller than the sum of its proper divisors (445925988).

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

220412412 is a wasteful number, since it uses less digits than its factorization.

220412412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1191 counting only the distinct ones).

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

The square root of 220412412 is about 14846.2928706125. The cubic root of 220412412 is about 604.0580583929.

Adding to 220412412 its reverse (214214022), we get a palindrome (434626434).

The spelling of 220412412 in words is "two hundred twenty million, four hundred twelve thousand, four hundred twelve".