211432234112 has 64 divisors (see below), whose sum is σ = 459692245440. Its totient is φ = 96066339840.

The previous prime is 211432234093. The next prime is 211432234127.

It is a happy number.

211432234112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3570893 + ... + 3629619.

It is an arithmetic number, because the mean of its divisors is an integer number (7182691335).

Almost surely, 2^211432234112 is an apocalyptic number.

211432234112 is a gapful number since it is divisible by the number (22) 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 211432234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229846122720).

211432234112 is an abundant number, since it is smaller than the sum of its proper divisors (248260011328).

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

211432234112 is a wasteful number, since it uses less digits than its factorization.

211432234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61309 (or 61297 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 211432 and 234112, that added together give a palindrome (445544).

The spelling of 211432234112 in words is "two hundred eleven billion, four hundred thirty-two million, two hundred thirty-four thousand, one hundred twelve".