214200133024 has 24 divisors (see below), whose sum is σ = 422455582080. Its totient is φ = 106909826496.

The previous prime is 214200133013. The next prime is 214200133039. The reversal of 214200133024 is 420331002412.

214200133024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214200132986 and 214200133004.

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 3 ways as a sum of consecutive naturals, for example, 5926704 + ... + 5962735.

It is an arithmetic number, because the mean of its divisors is an integer number (17602315920).

Almost surely, 2^214200133024 is an apocalyptic number.

It is an amenable number.

214200133024 is a deficient number, since it is larger than the sum of its proper divisors (208255449056).

214200133024 is a wasteful number, since it uses less digits than its factorization.

214200133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11890012 (or 11890004 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 214200133024 its reverse (420331002412), we get a palindrome (634531135436).

The spelling of 214200133024 in words is "two hundred fourteen billion, two hundred million, one hundred thirty-three thousand, twenty-four".