1321225200 has 90 divisors (see below), whose sum is σ = 4585030944. Its totient is φ = 352325760.

The previous prime is 1321225183. The next prime is 1321225201. The reversal of 1321225200 is 25221231.

1321225200 is a `hidden beast` number, since 132 + 12 + 2 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321225201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 179904 + ... + 187103.

Almost surely, 2^1321225200 is an apocalyptic number.

1321225200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321225200 is an abundant number, since it is smaller than the sum of its proper divisors (3263805744).

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

1321225200 is a wasteful number, since it uses less digits than its factorization.

1321225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367031 (or 367017 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1321225200 is about 36348.6615984688. The cubic root of 1321225200 is about 1097.3005987157.

Adding to 1321225200 its reverse (25221231), we get a palindrome (1346446431).

The spelling of 1321225200 in words is "one billion, three hundred twenty-one million, two hundred twenty-five thousand, two hundred".