1261200 has 60 divisors (see below), whose sum is σ = 4043888. Its totient is φ = 336000.

The previous prime is 1261199. The next prime is 1261217. The reversal of 1261200 is 21621.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 675 + ... + 1725.

2^1261200 is an apocalyptic number.

1261200 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 1261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021944).

1261200 is an abundant number, since it is smaller than the sum of its proper divisors (2782688).

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

1261200 is a wasteful number, since it uses less digits than its factorization.

1261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1261200 is about 1123.0316113093. The cubic root of 1261200 is about 108.0425072730.

Adding to 1261200 its reverse (21621), we get a palindrome (1282821).

It can be divided in two parts, 126 and 1200, that added together give a triangular number (1326 = T₅₁).

The spelling of 1261200 in words is "one million, two hundred sixty-one thousand, two hundred".