211231434120 has 128 divisors (see below), whose sum is σ = 725245574400. Its totient is φ = 48213236736.

The previous prime is 211231434101. The next prime is 211231434163. The reversal of 211231434120 is 21434132112.

211231434120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418222 + ... + 772898.

It is an arithmetic number, because the mean of its divisors is an integer number (5665981050).

Almost surely, 2^211231434120 is an apocalyptic number.

211231434120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211231434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362622787200).

211231434120 is an abundant number, since it is smaller than the sum of its proper divisors (514014140280).

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

211231434120 is a wasteful number, since it uses less digits than its factorization.

211231434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355407 (or 355403 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211231434120 its reverse (21434132112), we get a palindrome (232665566232).

The spelling of 211231434120 in words is "two hundred eleven billion, two hundred thirty-one million, four hundred thirty-four thousand, one hundred twenty".