1291327200 has 108 divisors (see below), whose sum is σ = 4553567928. Its totient is φ = 344352000.

The previous prime is 1291327189. The next prime is 1291327211. The reversal of 1291327200 is 27231921.

It is an interprime number because it is at equal distance from previous prime (1291327189) and next prime (1291327211).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82476 + ... + 96875.

It is an arithmetic number, because the mean of its divisors is an integer number (42162666).

Almost surely, 2^1291327200 is an apocalyptic number.

1291327200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1291327200 is an abundant number, since it is smaller than the sum of its proper divisors (3262240728).

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

1291327200 is a wasteful number, since it uses less digits than its factorization.

1291327200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179377 (or 179361 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1291327200 is about 35935.0413941601. The cubic root of 1291327200 is about 1088.9604318458.

The spelling of 1291327200 in words is "one billion, two hundred ninety-one million, three hundred twenty-seven thousand, two hundred".