1221600 has 72 divisors (see below), whose sum is σ = 3984120. Its totient is φ = 325120.

The previous prime is 1221593. The next prime is 1221601. The reversal of 1221600 is 61221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2146 + ... + 2654.

It is an arithmetic number, because the mean of its divisors is an integer number (55335).

2^1221600 is an apocalyptic number.

1221600 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 1221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992060).

1221600 is an abundant number, since it is smaller than the sum of its proper divisors (2762520).

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

1221600 is a wasteful number, since it uses less digits than its factorization.

1221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 519 counting only the distinct ones).

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

The square root of 1221600 is about 1105.2601503718. The cubic root of 1221600 is about 106.8996642915.

Adding to 1221600 its reverse (61221), we get a palindrome (1282821).

It can be divided in two parts, 12 and 21600, that added together give a palindrome (21612).

The spelling of 1221600 in words is "one million, two hundred twenty-one thousand, six hundred".