3220120314000 has 480 divisors, whose sum is σ = 11936007832320. Its totient is φ = 806312448000.

The previous prime is 3220120313981. The next prime is 3220120314041. The reversal of 3220120314000 is 4130210223.

3220120314000 is a `hidden beast` number, since 3 + 220 + 12 + 0 + 31 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134322015 + ... + 134345985.

It is an arithmetic number, because the mean of its divisors is an integer number (24866682984).

Almost surely, 2^{3220120314000} is an apocalyptic number.

3220120314000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220120314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968003916160).

3220120314000 is an abundant number, since it is smaller than the sum of its proper divisors (8715887518320).

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

3220120314000 is a wasteful number, since it uses less digits than its factorization.

3220120314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24456 (or 24437 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3220120314000 its reverse (4130210223), we get a palindrome (3224250524223).

The spelling of 3220120314000 in words is "three trillion, two hundred twenty billion, one hundred twenty million, three hundred fourteen thousand".