2202133311120 has 320 divisors, whose sum is σ = 7024664392704. Its totient is φ = 570468096000.

The previous prime is 2202133311109. The next prime is 2202133311173. The reversal of 2202133311120 is 211133312022.

It is a super-2 number, since 2×2202133311120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 978289995 + ... + 978292245.

Almost surely, 2^{2202133311120} is an apocalyptic number.

2202133311120 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 2202133311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512332196352).

2202133311120 is an abundant number, since it is smaller than the sum of its proper divisors (4822531081584).

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

2202133311120 is a wasteful number, since it uses less digits than its factorization.

2202133311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2202133311120 its reverse (211133312022), we get a palindrome (2413266623142).

The spelling of 2202133311120 in words is "two trillion, two hundred two billion, one hundred thirty-three million, three hundred eleven thousand, one hundred twenty".