212000032240 has 80 divisors (see below), whose sum is σ = 497471284800. Its totient is φ = 84014206976.

The previous prime is 212000032199. The next prime is 212000032247. The reversal of 212000032240 is 42230000212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×212000032240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000032247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36057621 + ... + 36063499.

It is an arithmetic number, because the mean of its divisors is an integer number (6218391060).

Almost surely, 2^212000032240 is an apocalyptic number.

212000032240 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 212000032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248735642400).

212000032240 is an abundant number, since it is smaller than the sum of its proper divisors (285471252560).

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

212000032240 is a wasteful number, since it uses less digits than its factorization.

212000032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9994 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 212000032240 its reverse (42230000212), we get a palindrome (254230032452).

The spelling of 212000032240 in words is "two hundred twelve billion, thirty-two thousand, two hundred forty".