212233200000 has 768 divisors, whose sum is σ = 743532410880. Its totient is φ = 53580800000.

The previous prime is 212233199987. The next prime is 212233200017. The reversal of 212233200000 is 2332212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2989199965 + ... + 2989200035.

It is an arithmetic number, because the mean of its divisors is an integer number (968141160).

Almost surely, 2^212233200000 is an apocalyptic number.

212233200000 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 212233200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371766205440).

212233200000 is an abundant number, since it is smaller than the sum of its proper divisors (531299210880).

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

212233200000 is an frugal number, since it uses more digits than its factorization.

212233200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 212233200000 its reverse (2332212), we get a palindrome (212235532212).

It can be divided in two parts, 21223 and 3200000, that added together give a palindrome (3221223).

The spelling of 212233200000 in words is "two hundred twelve billion, two hundred thirty-three million, two hundred thousand".