1200225600 has 672 divisors, whose sum is σ = 5165344000. Its totient is φ = 274337280.

The previous prime is 1200225557. The next prime is 1200225617. The reversal of 1200225600 is 65220021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×1200225600³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171460797 + ... + 171460803.

Almost surely, 2^1200225600 is an apocalyptic number.

1200225600 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 1200225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582672000).

1200225600 is an abundant number, since it is smaller than the sum of its proper divisors (3965118400).

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

1200225600 is an frugal number, since it uses more digits than its factorization.

1200225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

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

The square root of 1200225600 is about 34644.2722538662. The cubic root of 1200225600 is about 1062.7251582802.

Adding to 1200225600 its reverse (65220021), we get a palindrome (1265445621).

The spelling of 1200225600 in words is "one billion, two hundred million, two hundred twenty-five thousand, six hundred".