1005212220 has 48 divisors (see below), whose sum is σ = 2820938400. Its totient is φ = 267452416.

The previous prime is 1005212213. The next prime is 1005212237. The reversal of 1005212220 is 222125001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1005212220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8284 + ... + 45596.

It is an arithmetic number, because the mean of its divisors is an integer number (58769550).

Almost surely, 2^1005212220 is an apocalyptic number.

1005212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005212220 is an abundant number, since it is smaller than the sum of its proper divisors (1815726180).

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

1005212220 is a wasteful number, since it uses less digits than its factorization.

1005212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37774 (or 37772 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1005212220 is about 31705.0819270350. The cubic root of 1005212220 is about 1001.7343967953.

Adding to 1005212220 its reverse (222125001), we get a palindrome (1227337221).

The spelling of 1005212220 in words is "one billion, five million, two hundred twelve thousand, two hundred twenty".