1005200220 has 48 divisors (see below), whose sum is σ = 2816206848. Its totient is φ = 267896640.

The previous prime is 1005200219. The next prime is 1005200227. The reversal of 1005200220 is 220025001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1005200196 and 1005200205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005200227) by changing a digit.

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, 128625 + ... + 136215.

It is an arithmetic number, because the mean of its divisors is an integer number (58670976).

Almost surely, 2^1005200220 is an apocalyptic number.

1005200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005200220 is an abundant number, since it is smaller than the sum of its proper divisors (1811006628).

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

1005200220 is a wasteful number, since it uses less digits than its factorization.

1005200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9810 (or 9808 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1005200220 is about 31704.8926823606. The cubic root of 1005200220 is about 1001.7304106186.

Adding to 1005200220 its reverse (220025001), we get a palindrome (1225225221).

The spelling of 1005200220 in words is "one billion, five million, two hundred thousand, two hundred twenty".