211300434120 has 64 divisors (see below), whose sum is σ = 667264536000. Its totient is φ = 53381161728.

The previous prime is 211300434119. The next prime is 211300434221. The reversal of 211300434120 is 21434003112.

211300434120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46335535 + ... + 46340094.

It is an arithmetic number, because the mean of its divisors is an integer number (10426008375).

Almost surely, 2^211300434120 is an apocalyptic number.

211300434120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211300434120 is an abundant number, since it is smaller than the sum of its proper divisors (455964101880).

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

211300434120 is a wasteful number, since it uses less digits than its factorization.

211300434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92675662 (or 92675658 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 211300434120 its reverse (21434003112), we get a palindrome (232734437232).

The spelling of 211300434120 in words is "two hundred eleven billion, three hundred million, four hundred thirty-four thousand, one hundred twenty".