212133100320 has 144 divisors (see below), whose sum is σ = 724730223672. Its totient is φ = 56504279040.

The previous prime is 212133100229. The next prime is 212133100429. The reversal of 212133100320 is 23001331212.

212133100320 is a `hidden beast` number, since 2 + 12 + 1 + 331 + 0 + 0 + 320 = 666.

212133100320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 165222738576 + 46910361744 = 406476^2 + 216588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212133100293 and 212133100302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1185034 + ... + 1352246.

Almost surely, 2^212133100320 is an apocalyptic number.

212133100320 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 212133100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362365111836).

212133100320 is an abundant number, since it is smaller than the sum of its proper divisors (512597123352).

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

212133100320 is a wasteful number, since it uses less digits than its factorization.

212133100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168115 (or 168104 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212133100320 its reverse (23001331212), we get a palindrome (235134431532).

The spelling of 212133100320 in words is "two hundred twelve billion, one hundred thirty-three million, one hundred thousand, three hundred twenty".