1220566100 has 108 divisors (see below), whose sum is σ = 2950365852. Its totient is φ = 435686400.

The previous prime is 1220566057. The next prime is 1220566103. The reversal of 1220566100 is 16650221.

It can be written as a sum of positive squares in 6 ways, for example, as 6461764 + 1214104336 = 2542^2 + 34844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220566103) 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 35 ways as a sum of consecutive naturals, for example, 1248812 + ... + 1249788.

Almost surely, 2^1220566100 is an apocalyptic number.

1220566100 is a gapful number since it is divisible by the number (10) 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 1220566100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475182926).

1220566100 is an abundant number, since it is smaller than the sum of its proper divisors (1729799752).

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

1220566100 is a wasteful number, since it uses less digits than its factorization.

1220566100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1220566100 is about 34936.6011512282. The cubic root of 1220566100 is about 1068.6949763631.

The spelling of 1220566100 in words is "one billion, two hundred twenty million, five hundred sixty-six thousand, one hundred".