3212121312 has 96 divisors (see below), whose sum is σ = 9379994400. Its totient is φ = 1069415424.

The previous prime is 3212121259. The next prime is 3212121337. The reversal of 3212121312 is 2131212123.

3212121312 is a `hidden beast` number, since 321 + 212 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946114 + ... + 949502.

It is an arithmetic number, because the mean of its divisors is an integer number (97708275).

Almost surely, 2^3212121312 is an apocalyptic number.

3212121312 is a gapful number since it is divisible by the number (32) 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 3212121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689997200).

3212121312 is an abundant number, since it is smaller than the sum of its proper divisors (6167873088).

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

3212121312 is a wasteful number, since it uses less digits than its factorization.

3212121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505 (or 4491 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3212121312 is about 56675.5795029923. The cubic root of 3212121312 is about 1475.4708923792.

Adding to 3212121312 its reverse (2131212123), we get a palindrome (5343333435).

The spelling of 3212121312 in words is "three billion, two hundred twelve million, one hundred twenty-one thousand, three hundred twelve".