3122560000000 has 896 divisors, whose sum is σ = 9676184603904. Its totient is φ = 983040000000.

The previous prime is 3122559999973. The next prime is 3122560000013. The reversal of 3122560000000 is 652213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76159999980 + ... + 76160000020.

It is an arithmetic number, because the mean of its divisors is an integer number (10799313174).

Almost surely, 2^{3122560000000} 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 3122560000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838092301952).

3122560000000 is an abundant number, since it is smaller than the sum of its proper divisors (6553624603904).

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

3122560000000 is an frugal number, since it uses more digits than its factorization.

3122560000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 3122560000000 its reverse (652213), we get a palindrome (3122560652213).

The spelling of 3122560000000 in words is "three trillion, one hundred twenty-two billion, five hundred sixty million", and thus it is an aban number.