1122800 has 60 divisors (see below), whose sum is σ = 3090576. Its totient is φ = 384000.

The previous prime is 1122761. The next prime is 1122811. The reversal of 1122800 is 82211.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2600 + ... + 3000.

2^1122800 is an apocalyptic number.

1122800 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 1122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545288).

1122800 is an abundant number, since it is smaller than the sum of its proper divisors (1967776).

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

1122800 is a wasteful number, since it uses less digits than its factorization.

1122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1122800 is about 1059.6225743160. The cubic root of 1122800 is about 103.9363515874.

1122800 divided by its sum of digits (14) gives a triangular number (80200 = T₄₀₀).

It can be divided in two parts, 112 and 2800, that multiplied together give a square (313600 = 560²).

The spelling of 1122800 in words is "one million, one hundred twenty-two thousand, eight hundred".