220401312 has 48 divisors (see below), whose sum is σ = 579882240. Its totient is φ = 73298432.

The previous prime is 220401241. The next prime is 220401317. The reversal of 220401312 is 213104022.

220401312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 220401291 and 220401300.

It is not an unprimeable number, because it can be changed into a prime (220401317) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43588 + ... + 48380.

It is an arithmetic number, because the mean of its divisors is an integer number (12080880).

Almost surely, 2^220401312 is an apocalyptic number.

It is an amenable number.

220401312 is an abundant number, since it is smaller than the sum of its proper divisors (359480928).

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

220401312 is a wasteful number, since it uses less digits than its factorization.

220401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 220401312 is about 14845.9190352096. The cubic root of 220401312 is about 604.0479180731.

Adding to 220401312 its reverse (213104022), we get a palindrome (433505334).

The spelling of 220401312 in words is "two hundred twenty million, four hundred one thousand, three hundred twelve".