221200123311333 has 80 divisors (see below), whose sum is σ = 340948831681920. Its totient is φ = 142827872832000.

The previous prime is 221200123311289. The next prime is 221200123311359. The reversal of 221200123311333 is 333113321002122.

221200123311333 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 0 + 0 + 12 + 3 + 311 + 333 = 666.

It is not a de Polignac number, because 221200123311333 - 2⁶ = 221200123311269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221200123311297 and 221200123311306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221200123361333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 806729766 + ... + 807003912.

It is an arithmetic number, because the mean of its divisors is an integer number (4261860396024).

Almost surely, 2^{221200123311333} is an apocalyptic number.

It is an amenable number.

221200123311333 is a deficient number, since it is larger than the sum of its proper divisors (119748708370587).

221200123311333 is a wasteful number, since it uses less digits than its factorization.

221200123311333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275960 (or 275951 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 221200123311333 its reverse (333113321002122), we get a palindrome (554313444313455).

The spelling of 221200123311333 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty-three million, three hundred eleven thousand, three hundred thirty-three".