1212100 has 72 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 422400.

The previous prime is 1212061. The next prime is 1212103. The reversal of 1212100 is 12121.

1212100 = T₁₀₃ + T₁₀₄ + ... + T₂₀₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39085 + ... + 39115.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

2^1212100 is an apocalyptic number.

1212100 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 1212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

1212100 is an abundant number, since it is smaller than the sum of its proper divisors (1787708).

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

1212100 is a wasteful number, since it uses less digits than its factorization.

1212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

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

The square root of 1212100 is about 1100.9541316513. The cubic root of 1212100 is about 106.6218344582.

Adding to 1212100 its reverse (12121), we get a palindrome (1224221).

Multiplying 1212100 by its reverse (12121), we get a square (14691864100 = 121210²).

1212100 divided by its reverse (12121) gives a square (100 = 10²).

The spelling of 1212100 in words is "one million, two hundred twelve thousand, one hundred".