212033408320 has 112 divisors (see below), whose sum is σ = 529161816960. Its totient is φ = 80770922496.

The previous prime is 212033408299. The next prime is 212033408359. The reversal of 212033408320 is 23804330212.

212033408320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1622539 + ... + 1748341.

It is an arithmetic number, because the mean of its divisors is an integer number (4724659080).

Almost surely, 2^212033408320 is an apocalyptic number.

212033408320 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 212033408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264580908480).

212033408320 is an abundant number, since it is smaller than the sum of its proper divisors (317128408640).

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

212033408320 is a wasteful number, since it uses less digits than its factorization.

212033408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126072 (or 126062 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 212033408320 its reverse (23804330212), we get a palindrome (235837738532).

The spelling of 212033408320 in words is "two hundred twelve billion, thirty-three million, four hundred eight thousand, three hundred twenty".