1042131200 has 216 divisors, whose sum is σ = 2860504416. Its totient is φ = 372736000.

The previous prime is 1042131179. The next prime is 1042131203. The reversal of 1042131200 is 21312401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042131203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7955135 + ... + 7955265.

It is an arithmetic number, because the mean of its divisors is an integer number (13243076).

Almost surely, 2^1042131200 is an apocalyptic number.

1042131200 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 1042131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430252208).

1042131200 is an abundant number, since it is smaller than the sum of its proper divisors (1818373216).

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

1042131200 is a wasteful number, since it uses less digits than its factorization.

1042131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1042131200 is about 32282.0569357035. The cubic root of 1042131200 is about 1013.8509974316.

Adding to 1042131200 its reverse (21312401), we get a palindrome (1063443601).

The spelling of 1042131200 in words is "one billion, forty-two million, one hundred thirty-one thousand, two hundred".