211433401120 has 48 divisors (see below), whose sum is σ = 511127971200. Its totient is φ = 82606535424.

The previous prime is 211433401063. The next prime is 211433401121. The reversal of 211433401120 is 21104334112.

It is a junction number, because it is equal to n+sod(n) for n = 211433401091 and 211433401100.

It is not an unprimeable number, because it can be changed into a prime (211433401121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15358920 + ... + 15372679.

It is an arithmetic number, because the mean of its divisors is an integer number (10648499400).

Almost surely, 2^211433401120 is an apocalyptic number.

211433401120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211433401120 is an abundant number, since it is smaller than the sum of its proper divisors (299694570080).

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

211433401120 is a wasteful number, since it uses less digits than its factorization.

211433401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30731657 (or 30731649 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211433401120 its reverse (21104334112), we get a palindrome (232537735232).

The spelling of 211433401120 in words is "two hundred eleven billion, four hundred thirty-three million, four hundred one thousand, one hundred twenty".