1225533200 has 60 divisors (see below), whose sum is σ = 2956793268. Its totient is φ = 488140800.

The previous prime is 1225533187. The next prime is 1225533223. The reversal of 1225533200 is 23355221.

It can be written as a sum of positive squares in 6 ways, for example, as 85525504 + 1140007696 = 9248^2 + 33764^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90044 + ... + 102756.

Almost surely, 2^1225533200 is an apocalyptic number.

1225533200 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 1225533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478396634).

1225533200 is an abundant number, since it is smaller than the sum of its proper divisors (1731260068).

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

1225533200 is a wasteful number, since it uses less digits than its factorization.

1225533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 12961 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1225533200 is about 35007.6163141680. The cubic root of 1225533200 is about 1070.1427008560.

Adding to 1225533200 its reverse (23355221), we get a palindrome (1248888421).

The spelling of 1225533200 in words is "one billion, two hundred twenty-five million, five hundred thirty-three thousand, two hundred".