1218100 has 36 divisors (see below), whose sum is σ = 2849644. Its totient is φ = 449280.

The previous prime is 1218089. The next prime is 1218121. The reversal of 1218100 is 18121.

It can be written as a sum of positive squares in 6 ways, for example, as 404496 + 813604 = 636^2 + 902^2 .

It is a super-2 number, since 2×1218100² = 2967535220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 832 + ... + 1768.

2^1218100 is an apocalyptic number.

1218100 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 1218100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424822).

1218100 is an abundant number, since it is smaller than the sum of its proper divisors (1631544).

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

1218100 is a wasteful number, since it uses less digits than its factorization.

1218100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1218100 is about 1103.6756769994. The cubic root of 1218100 is about 106.7974740714.

It can be divided in two parts, 121 and 8100, that multiplied together give a square (980100 = 990²).

The spelling of 1218100 in words is "one million, two hundred eighteen thousand, one hundred".