3122471468480 has 896 divisors, whose sum is σ = 9781378252800. Its totient is φ = 942257111040.

The previous prime is 3122471468461. The next prime is 3122471468489. The reversal of 3122471468480 is 848641742213.

It is a happy number.

3122471468480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122471468489) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3229028957 + ... + 3229029923.

It is an arithmetic number, because the mean of its divisors is an integer number (10916716800).

Almost surely, 2^{3122471468480} 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 3122471468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890689126400).

3122471468480 is an abundant number, since it is smaller than the sum of its proper divisors (6658906784320).

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

3122471468480 is a wasteful number, since it uses less digits than its factorization.

3122471468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 50.

The spelling of 3122471468480 in words is "three trillion, one hundred twenty-two billion, four hundred seventy-one million, four hundred sixty-eight thousand, four hundred eighty".