1220103200 has 72 divisors (see below), whose sum is σ = 2983941828. Its totient is φ = 487162880.

The previous prime is 1220103193. The next prime is 1220103217. The reversal of 1220103200 is 23010221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 61653904 + 1158449296 = 7852^2 + 34036^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 617414 + ... + 619386.

Almost surely, 2^1220103200 is an apocalyptic number.

1220103200 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 1220103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491970914).

1220103200 is an abundant number, since it is smaller than the sum of its proper divisors (1763838628).

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

1220103200 is a wasteful number, since it uses less digits than its factorization.

1220103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1220103200 is about 34929.9756656085. The cubic root of 1220103200 is about 1068.5598583344.

Adding to 1220103200 its reverse (23010221), we get a palindrome (1243113421).

The spelling of 1220103200 in words is "one billion, two hundred twenty million, one hundred three thousand, two hundred".