1321127040 has 64 divisors (see below), whose sum is σ = 4211098560. Its totient is φ = 352300032.

The previous prime is 1321127021. The next prime is 1321127047. The reversal of 1321127040 is 407211231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1321126998 and 1321127016.

It is not an unprimeable number, because it can be changed into a prime (1321127047) 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, 342124 + ... + 345963.

It is an arithmetic number, because the mean of its divisors is an integer number (65798415).

Almost surely, 2^1321127040 is an apocalyptic number.

1321127040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321127040 is an abundant number, since it is smaller than the sum of its proper divisors (2889971520).

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

1321127040 is an equidigital number, since it uses as much as digits as its factorization.

1321127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688109 (or 688097 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1321127040 is about 36347.3113173451. The cubic root of 1321127040 is about 1097.2734235113.

Adding to 1321127040 its reverse (407211231), we get a palindrome (1728338271).

The spelling of 1321127040 in words is "one billion, three hundred twenty-one million, one hundred twenty-seven thousand, forty".