212133341112000 has 1792 divisors, whose sum is σ = 912500210958336. Its totient is φ = 42106521600000.

The previous prime is 212133341111789. The next prime is 212133341112013. The reversal of 212133341112000 is 211143331212.

It is a super-2 number, since 2×212133341112000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36255909075 + ... + 36255914925.

It is an arithmetic number, because the mean of its divisors is an integer number (509207707008).

Almost surely, 2^{212133341112000} is an apocalyptic number.

212133341112000 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 212133341112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456250105479168).

212133341112000 is an abundant number, since it is smaller than the sum of its proper divisors (700366869846336).

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

212133341112000 is a wasteful number, since it uses less digits than its factorization.

212133341112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6775 (or 6755 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 212133341112000 its reverse (211143331212), we get a palindrome (212344484443212).

The spelling of 212133341112000 in words is "two hundred twelve trillion, one hundred thirty-three billion, three hundred forty-one million, one hundred twelve thousand".