3331220212320 has 768 divisors, whose sum is σ = 14163119308800. Its totient is φ = 635592499200.

The previous prime is 3331220212319. The next prime is 3331220212321. The reversal of 3331220212320 is 232120221333.

It is an interprime number because it is at equal distance from previous prime (3331220212319) and next prime (3331220212321).

It is a super-2 number, since 2×3331220212320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331220212321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91753531 + ... + 91789829.

It is an arithmetic number, because the mean of its divisors is an integer number (18441561600).

Almost surely, 2^{3331220212320} is an apocalyptic number.

3331220212320 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 3331220212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081559654400).

3331220212320 is an abundant number, since it is smaller than the sum of its proper divisors (10831899096480).

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

3331220212320 is a wasteful number, since it uses less digits than its factorization.

3331220212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36539 (or 36531 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3331220212320 its reverse (232120221333), we get a palindrome (3563340433653).

The spelling of 3331220212320 in words is "three trillion, three hundred thirty-one billion, two hundred twenty million, two hundred twelve thousand, three hundred twenty".