1200133440 has 336 divisors, whose sum is σ = 4613184576. Its totient is φ = 283852800.

The previous prime is 1200133439. The next prime is 1200133453. The reversal of 1200133440 is 443310021.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1361800 + ... + 1362680.

It is an arithmetic number, because the mean of its divisors is an integer number (13729716).

Almost surely, 2^1200133440 is an apocalyptic number.

1200133440 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 1200133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306592288).

1200133440 is an abundant number, since it is smaller than the sum of its proper divisors (3413051136).

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

1200133440 is a wasteful number, since it uses less digits than its factorization.

1200133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1200133440 is about 34642.9421383346. The cubic root of 1200133440 is about 1062.6979569336.

Adding to 1200133440 its reverse (443310021), we get a palindrome (1643443461).

The spelling of 1200133440 in words is "one billion, two hundred million, one hundred thirty-three thousand, four hundred forty".