1004131200 has 96 divisors (see below), whose sum is σ = 3307388760. Its totient is φ = 267765760.

The previous prime is 1004131189. The next prime is 1004131201. The reversal of 1004131200 is 21314001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004131201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42699 + ... + 61898.

Almost surely, 2^1004131200 is an apocalyptic number.

1004131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004131200 is an abundant number, since it is smaller than the sum of its proper divisors (2303257560).

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

1004131200 is a wasteful number, since it uses less digits than its factorization.

1004131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104624 (or 104607 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1004131200 is about 31688.0292855204. The cubic root of 1004131200 is about 1001.3751746944.

Adding to 1004131200 its reverse (21314001), we get a palindrome (1025445201).

The spelling of 1004131200 in words is "one billion, four million, one hundred thirty-one thousand, two hundred".