3121305246252 has 144 divisors (see below), whose sum is σ = 8644467031200. Its totient is φ = 945213265920.

The previous prime is 3121305246203. The next prime is 3121305246259. The reversal of 3121305246252 is 2526425031213.

3121305246252 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 0 + 5 + 24 + 625 + 2 = 666.

3121305246252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3121305246259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72585574 + ... + 72628562.

It is an arithmetic number, because the mean of its divisors is an integer number (60031021050).

Almost surely, 2^{3121305246252} 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 3121305246252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322233515600).

3121305246252 is an abundant number, since it is smaller than the sum of its proper divisors (5523161784948).

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

3121305246252 is a wasteful number, since it uses less digits than its factorization.

3121305246252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47136 (or 47131 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 3121305246252 in words is "three trillion, one hundred twenty-one billion, three hundred five million, two hundred forty-six thousand, two hundred fifty-two".