212233012332000 has 768 divisors, whose sum is σ = 768306242995200. Its totient is φ = 50785996800000.

The previous prime is 212233012331939. The next prime is 212233012332017. The reversal of 212233012332000 is 233210332212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7060532971 + ... + 7060563029.

It is an arithmetic number, because the mean of its divisors is an integer number (1000398753900).

Almost surely, 2^{212233012332000} is an apocalyptic number.

212233012332000 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 212233012332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384153121497600).

212233012332000 is an abundant number, since it is smaller than the sum of its proper divisors (556073230663200).

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

212233012332000 is a wasteful number, since it uses less digits than its factorization.

212233012332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30788 (or 30770 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 212233012332000 its reverse (233210332212), we get a palindrome (212466222664212).

The spelling of 212233012332000 in words is "two hundred twelve trillion, two hundred thirty-three billion, twelve million, three hundred thirty-two thousand".