1122100 has 54 divisors (see below), whose sum is σ = 2844870. Its totient is φ = 383040.

The previous prime is 1122091. The next prime is 1122103. The reversal of 1122100 is 12211.

1122100 = T₉₇ + T₉₈ + ... + T₁₉₆.

It can be written as a sum of positive squares in 3 ways, for example, as 268324 + 853776 = 518^2 + 924^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4786 + ... + 5014.

2^1122100 is an apocalyptic number.

1122100 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 1122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422435).

1122100 is an abundant number, since it is smaller than the sum of its proper divisors (1722770).

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

1122100 is a wasteful number, since it uses less digits than its factorization.

1122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1122100 is about 1059.2922165295. The cubic root of 1122100 is about 103.9147476891.

Adding to 1122100 its reverse (12211), we get a palindrome (1134311).

The spelling of 1122100 in words is "one million, one hundred twenty-two thousand, one hundred".