1269200 has 60 divisors (see below), whose sum is σ = 3228960. Its totient is φ = 478080.

The previous prime is 1269197. The next prime is 1269221. The reversal of 1269200 is 29621.

It is a super-2 number, since 2×1269200² = 3221737280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7517 + ... + 7683.

It is an arithmetic number, because the mean of its divisors is an integer number (53816).

2^1269200 is an apocalyptic number.

1269200 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 1269200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614480).

1269200 is an abundant number, since it is smaller than the sum of its proper divisors (1959760).

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

1269200 is a wasteful number, since it uses less digits than its factorization.

1269200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1269200 is about 1126.5877684406. The cubic root of 1269200 is about 108.2704697745.

The spelling of 1269200 in words is "one million, two hundred sixty-nine thousand, two hundred".