1321114000 has 40 divisors (see below), whose sum is σ = 3194458488. Its totient is φ = 528444800.

The previous prime is 1321113991. The next prime is 1321114001. The reversal of 1321114000 is 4111231.

It can be written as a sum of positive squares in 4 ways, for example, as 89946256 + 1231167744 = 9484^2 + 35088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1321114001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328279 + ... + 332278.

Almost surely, 2^1321114000 is an apocalyptic number.

1321114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321114000 is an abundant number, since it is smaller than the sum of its proper divisors (1873344488).

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

1321114000 is an equidigital number, since it uses as much as digits as its factorization.

1321114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660580 (or 660564 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1321114000 is about 36347.1319363715. The cubic root of 1321114000 is about 1097.2698133381.

Adding to 1321114000 its reverse (4111231), we get a palindrome (1325225231).

The spelling of 1321114000 in words is "one billion, three hundred twenty-one million, one hundred fourteen thousand".