3212100 has 108 divisors (see below), whose sum is σ = 10426416. Its totient is φ = 826560.

The previous prime is 3212093. The next prime is 3212101. The reversal of 3212100 is 12123.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38659 + ... + 38741.

Almost surely, 2^3212100 is an apocalyptic number.

3212100 is a gapful number since it is divisible by the number (30) 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 3212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213208).

3212100 is an abundant number, since it is smaller than the sum of its proper divisors (7214316).

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

3212100 is a wasteful number, since it uses less digits than its factorization.

3212100 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 3212100 is about 1792.2332437493. The cubic root of 3212100 is about 147.5467629187.

Adding to 3212100 its reverse (12123), we get a palindrome (3224223).

The spelling of 3212100 in words is "three million, two hundred twelve thousand, one hundred".