1322100 has 108 divisors (see below), whose sum is σ = 4502316. Its totient is φ = 322560.

The previous prime is 1322089. The next prime is 1322117. The reversal of 1322100 is 12231.

1322100 = T₁₉₉ + T₂₀₀ + ... + T₂₅₀.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 501264 + 820836 = 708^2 + 906^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11644 + ... + 11756.

2^1322100 is an apocalyptic number.

1322100 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 1322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251158).

1322100 is an abundant number, since it is smaller than the sum of its proper divisors (3180216).

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

1322100 is a wasteful number, since it uses less digits than its factorization.

1322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1322100 is about 1149.8260738042. The cubic root of 1322100 is about 109.7542724177.

Adding to 1322100 its reverse (12231), we get a palindrome (1334331).

The spelling of 1322100 in words is "one million, three hundred twenty-two thousand, one hundred".