2211133022120 has 128 divisors (see below), whose sum is σ = 5944739558400. Its totient is φ = 730656460800.

The previous prime is 2211133022107. The next prime is 2211133022129. The reversal of 2211133022120 is 212203311122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2211133022092 and 2211133022101.

It is not an unprimeable number, because it can be changed into a prime (2211133022129) 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 31 ways as a sum of consecutive naturals, for example, 4879736 + ... + 5313575.

It is an arithmetic number, because the mean of its divisors is an integer number (46443277800).

Almost surely, 2^{2211133022120} is an apocalyptic number.

2211133022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211133022120 is an abundant number, since it is smaller than the sum of its proper divisors (3733606536280).

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

2211133022120 is a wasteful number, since it uses less digits than its factorization.

2211133022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10193379 (or 10193375 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2211133022120 its reverse (212203311122), we get a palindrome (2423336333242).

The spelling of 2211133022120 in words is "two trillion, two hundred eleven billion, one hundred thirty-three million, twenty-two thousand, one hundred twenty".