1225223200 has 72 divisors (see below), whose sum is σ = 2995941060. Its totient is φ = 489292800.

The previous prime is 1225223159. The next prime is 1225223231. The reversal of 1225223200 is 23225221.

It can be written as a sum of positive squares in 6 ways, for example, as 101364624 + 1123858576 = 10068^2 + 33524^2 .

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, 886510 + ... + 887890.

Almost surely, 2^1225223200 is an apocalyptic number.

1225223200 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 1225223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497970530).

1225223200 is an abundant number, since it is smaller than the sum of its proper divisors (1770717860).

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

1225223200 is a wasteful number, since it uses less digits than its factorization.

1225223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1225223200 is about 35003.1884261991. The cubic root of 1225223200 is about 1070.0524619807.

Adding to 1225223200 its reverse (23225221), we get a palindrome (1248448421).

The spelling of 1225223200 in words is "one billion, two hundred twenty-five million, two hundred twenty-three thousand, two hundred".