212011133100000 has 576 divisors, whose sum is σ = 752679290442240. Its totient is φ = 51939820800000.

The previous prime is 212011133099989. The next prime is 212011133100001. The reversal of 212011133100000 is 1331110212.

It is a happy number.

It is a super-2 number, since 2×212011133100000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011133100001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 822771181 + ... + 823028819.

It is an arithmetic number, because the mean of its divisors is an integer number (1306734879240).

Almost surely, 2^{212011133100000} is an apocalyptic number.

212011133100000 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 212011133100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376339645221120).

212011133100000 is an abundant number, since it is smaller than the sum of its proper divisors (540668157342240).

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

212011133100000 is a wasteful number, since it uses less digits than its factorization.

212011133100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257901 (or 257873 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 212011133100000 its reverse (1331110212), we get a palindrome (212012464210212).

The spelling of 212011133100000 in words is "two hundred twelve trillion, eleven billion, one hundred thirty-three million, one hundred thousand".