1291080000 has 560 divisors, whose sum is σ = 5141854080. Its totient is φ = 279552000.

The previous prime is 1291079987. The next prime is 1291080041. The reversal of 1291080000 is 801921.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24359974 + ... + 24360026.

Almost surely, 2^1291080000 is an apocalyptic number.

1291080000 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 1291080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570927040).

1291080000 is an abundant number, since it is smaller than the sum of its proper divisors (3850774080).

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

1291080000 is an equidigital number, since it uses as much as digits as its factorization.

1291080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 1291080000 is about 35931.6016898774. The cubic root of 1291080000 is about 1088.8909404993.

Adding to 1291080000 its reverse (801921), we get a palindrome (1291881921).

The spelling of 1291080000 in words is "one billion, two hundred ninety-one million, eighty thousand".