3212124100 has 72 divisors (see below), whose sum is σ = 7309922760. Its totient is φ = 1223470080.

The previous prime is 3212124067. The next prime is 3212124127. The reversal of 3212124100 is 14212123.

It can be written as a sum of positive squares in 12 ways, for example, as 173027716 + 3039096384 = 13154^2 + 55128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204114 + ... + 219286.

It is an arithmetic number, because the mean of its divisors is an integer number (101526705).

Almost surely, 2^3212124100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654961380).

3212124100 is an abundant number, since it is smaller than the sum of its proper divisors (4097798660).

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

3212124100 is a wasteful number, since it uses less digits than its factorization.

3212124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15289 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3212124100 is about 56675.6040991183. The cubic root of 3212124100 is about 1475.4713192634.

Adding to 3212124100 its reverse (14212123), we get a palindrome (3226336223).

The spelling of 3212124100 in words is "three billion, two hundred twelve million, one hundred twenty-four thousand, one hundred".