1291300 has 36 divisors (see below), whose sum is σ = 2886100. Its totient is φ = 501120.

The previous prime is 1291271. The next prime is 1291313. The reversal of 1291300 is 31921.

1291300 = T₅₁ + T₅₂ + ... + T₁₉₈.

It can be written as a sum of positive squares in 6 ways, for example, as 54756 + 1236544 = 234^2 + 1112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3526 + ... + 3874.

2^1291300 is an apocalyptic number.

1291300 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 1291300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443050).

1291300 is an abundant number, since it is smaller than the sum of its proper divisors (1594800).

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

1291300 is a wasteful number, since it uses less digits than its factorization.

1291300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1291300 is about 1136.3538181394. The cubic root of 1291300 is about 108.8952785983.

The spelling of 1291300 in words is "one million, two hundred ninety-one thousand, three hundred".