2213333122000 has 640 divisors, whose sum is σ = 7608491025408. Its totient is φ = 599334912000.

The previous prime is 2213333121971. The next prime is 2213333122129. The reversal of 2213333122000 is 2213333122.

2213333122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34001484 + ... + 34066516.

Almost surely, 2^{2213333122000} is an apocalyptic number.

2213333122000 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 2213333122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804245512704).

2213333122000 is an abundant number, since it is smaller than the sum of its proper divisors (5395157903408).

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

2213333122000 is a wasteful number, since it uses less digits than its factorization.

2213333122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65104 (or 65088 counting only the distinct ones).

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

Adding to 2213333122000 its reverse (2213333122), we get a palindrome (2215546455122).

2213333122000 divided by its reverse (2213333122) gives a cube (1000 = 10³).

It can be divided in two parts, 22133 and 33122000, that added together give a palindrome (33144133).

The spelling of 2213333122000 in words is "two trillion, two hundred thirteen billion, three hundred thirty-three million, one hundred twenty-two thousand".