2213333002120 has 192 divisors, whose sum is σ = 5211514624320. Its totient is φ = 845624053248.

The previous prime is 2213333002081. The next prime is 2213333002121. The reversal of 2213333002120 is 212003333122.

It is a junction number, because it is equal to n+sod(n) for n = 2213333002091 and 2213333002100.

It is not an unprimeable number, because it can be changed into a prime (2213333002121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789628639 + ... + 789631441.

It is an arithmetic number, because the mean of its divisors is an integer number (27143305335).

Almost surely, 2^{2213333002120} is an apocalyptic number.

2213333002120 is a gapful number since it is divisible by the number (20) 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 2213333002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605757312160).

2213333002120 is an abundant number, since it is smaller than the sum of its proper divisors (2998181622200).

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

2213333002120 is a wasteful number, since it uses less digits than its factorization.

2213333002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2213333002120 its reverse (212003333122), we get a palindrome (2425336335242).

It can be divided in two parts, 2213333002 and 120, that added together give a palindrome (2213333122).

The spelling of 2213333002120 in words is "two trillion, two hundred thirteen billion, three hundred thirty-three million, two thousand, one hundred twenty".