1291200 has 84 divisors (see below), whose sum is σ = 4251960. Its totient is φ = 343040.

The previous prime is 1291193. The next prime is 1291211. The reversal of 1291200 is 21921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1291200.

It is a congruent number.

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, 4666 + ... + 4934.

2^1291200 is an apocalyptic number.

1291200 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 1291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125980).

1291200 is an abundant number, since it is smaller than the sum of its proper divisors (2960760).

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

1291200 is a wasteful number, since it uses less digits than its factorization.

1291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1291200 is about 1136.3098169073. The cubic root of 1291200 is about 108.8924675270.

The spelling of 1291200 in words is "one million, two hundred ninety-one thousand, two hundred".