212011111001200 has 240 divisors, whose sum is σ = 616663459584000. Its totient is φ = 68380475535360.

The previous prime is 212011111001167. The next prime is 212011111001213. The reversal of 212011111001200 is 2100111110212.

It is a happy number.

212011111001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212011111001200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97119301 + ... + 99278299.

It is an arithmetic number, because the mean of its divisors is an integer number (2569431081600).

Almost surely, 2^{212011111001200} is an apocalyptic number.

212011111001200 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 212011111001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308331729792000).

212011111001200 is an abundant number, since it is smaller than the sum of its proper divisors (404652348582800).

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

212011111001200 is a wasteful number, since it uses less digits than its factorization.

212011111001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161104 (or 2161093 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212011111001200 its reverse (2100111110212), we get a palindrome (214111222111412).

The spelling of 212011111001200 in words is "two hundred twelve trillion, eleven billion, one hundred eleven million, one thousand, two hundred".