3011216806000 has 480 divisors, whose sum is σ = 8321872366080. Its totient is φ = 1046504448000.

The previous prime is 3011216805983. The next prime is 3011216806009. The reversal of 3011216806000 is 6086121103.

It is a self number, because there is not a number n which added to its sum of digits gives 3011216806000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3011216806009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1103412636 + ... + 1103415364.

It is an arithmetic number, because the mean of its divisors is an integer number (17337234096).

Almost surely, 2^{3011216806000} 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 3011216806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160936183040).

3011216806000 is an abundant number, since it is smaller than the sum of its proper divisors (5310655560080).

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

3011216806000 is a wasteful number, since it uses less digits than its factorization.

3011216806000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 3011216806000 in words is "three trillion, eleven billion, two hundred sixteen million, eight hundred six thousand".