1200224000 has 72 divisors (see below), whose sum is σ = 2989987728. Its totient is φ = 480076800.

The previous prime is 1200223991. The next prime is 1200224009. The reversal of 1200224000 is 4220021.

It is an interprime number because it is at equal distance from previous prime (1200223991) and next prime (1200224009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200224009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13247 + ... + 50753.

Almost surely, 2^1200224000 is an apocalyptic number.

1200224000 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 1200224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494993864).

1200224000 is an abundant number, since it is smaller than the sum of its proper divisors (1789763728).

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

1200224000 is an frugal number, since it uses more digits than its factorization.

1200224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37538 (or 37514 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1200224000 is about 34644.2491620182. The cubic root of 1200224000 is about 1062.7246860465.

Adding to 1200224000 its reverse (4220021), we get a palindrome (1204444021).

The spelling of 1200224000 in words is "one billion, two hundred million, two hundred twenty-four thousand".