3212122403440 has 80 divisors (see below), whose sum is σ = 7560902901600. Its totient is φ = 1268931096576.

The previous prime is 3212122403437. The next prime is 3212122403453. The reversal of 3212122403440 is 443042212123.

3212122403440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3212122403399 and 3212122403408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5853484 + ... + 6378676.

It is an arithmetic number, because the mean of its divisors is an integer number (94511286270).

Almost surely, 2^{3212122403440} 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 3212122403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780451450800).

3212122403440 is an abundant number, since it is smaller than the sum of its proper divisors (4348780498160).

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

3212122403440 is a wasteful number, since it uses less digits than its factorization.

3212122403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526154 (or 526148 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3212122403440 its reverse (443042212123), we get a palindrome (3655164615563).

The spelling of 3212122403440 in words is "three trillion, two hundred twelve billion, one hundred twenty-two million, four hundred three thousand, four hundred forty".