212033100320 has 96 divisors (see below), whose sum is σ = 516369385728. Its totient is φ = 82232608768.

The previous prime is 212033100289. The next prime is 212033100329. The reversal of 212033100320 is 23001330212.

It is a super-2 number, since 2×212033100320² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212033100329) 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, 672884 + ... + 936396.

It is an arithmetic number, because the mean of its divisors is an integer number (5378847768).

Almost surely, 2^212033100320 is an apocalyptic number.

212033100320 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 212033100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258184692864).

212033100320 is an abundant number, since it is smaller than the sum of its proper divisors (304336285408).

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

212033100320 is a wasteful number, since it uses less digits than its factorization.

212033100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263682 (or 263674 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 212033100320 its reverse (23001330212), we get a palindrome (235034430532).

The spelling of 212033100320 in words is "two hundred twelve billion, thirty-three million, one hundred thousand, three hundred twenty".