1200031040 has 112 divisors (see below), whose sum is σ = 3128497680. Its totient is φ = 435732480.

The previous prime is 1200030983. The next prime is 1200031043. The reversal of 1200031040 is 401300021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 723394816 + 476636224 = 26896^2 + 21832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200031043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 251396 + ... + 256124.

It is an arithmetic number, because the mean of its divisors is an integer number (27933015).

Almost surely, 2^1200031040 is an apocalyptic number.

1200031040 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 1200031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564248840).

1200031040 is an abundant number, since it is smaller than the sum of its proper divisors (1928466640).

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

1200031040 is a wasteful number, since it uses less digits than its factorization.

1200031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1200031040 is about 34641.4641722893. The cubic root of 1200031040 is about 1062.6677315819.

Adding to 1200031040 its reverse (401300021), we get a palindrome (1601331061).

The spelling of 1200031040 in words is "one billion, two hundred million, thirty-one thousand, forty".