1201233200 has 120 divisors (see below), whose sum is σ = 3058286400. Its totient is φ = 452148480.

The previous prime is 1201233193. The next prime is 1201233217. The reversal of 1201233200 is 23321021.

It is a happy number.

It is a super-2 number, since 2×1201233200² = 2885922401564480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1359959 + ... + 1360841.

It is an arithmetic number, because the mean of its divisors is an integer number (25485720).

Almost surely, 2^1201233200 is an apocalyptic number.

1201233200 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 1201233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529143200).

1201233200 is an abundant number, since it is smaller than the sum of its proper divisors (1857053200).

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

1201233200 is a wasteful number, since it uses less digits than its factorization.

1201233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1201233200 is about 34658.8112894831. The cubic root of 1201233200 is about 1063.0224641534.

Adding to 1201233200 its reverse (23321021), we get a palindrome (1224554221).

The spelling of 1201233200 in words is "one billion, two hundred one million, two hundred thirty-three thousand, two hundred".