1220233200 has 240 divisors, whose sum is σ = 4160745600. Its totient is φ = 304819200.

The previous prime is 1220233187. The next prime is 1220233211. The reversal of 1220233200 is 23320221.

It is a tau number, because it is divible by the number of its divisors (240).

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 1220233200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2484955 + ... + 2485445.

It is an arithmetic number, because the mean of its divisors is an integer number (17336440).

Almost surely, 2^1220233200 is an apocalyptic number.

1220233200 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 1220233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080372800).

1220233200 is an abundant number, since it is smaller than the sum of its proper divisors (2940512400).

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

1220233200 is a wasteful number, since it uses less digits than its factorization.

1220233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1220233200 is about 34931.8364819258. The cubic root of 1220233200 is about 1068.5978080882.

Adding to 1220233200 its reverse (23320221), we get a palindrome (1243553421).

The spelling of 1220233200 in words is "one billion, two hundred twenty million, two hundred thirty-three thousand, two hundred".