212001100211200 has 396 divisors, whose sum is σ = 559764735938560. Its totient is φ = 79593687613440.

The previous prime is 212001100211161. The next prime is 212001100211203. The reversal of 212001100211200 is 2112001100212.

It is a super-3 number, since 3×212001100211200³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212001100211203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2715173761 + ... + 2715251839.

Almost surely, 2^{212001100211200} is an apocalyptic number.

212001100211200 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 212001100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279882367969280).

212001100211200 is an abundant number, since it is smaller than the sum of its proper divisors (347763635727360).

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

212001100211200 is a wasteful number, since it uses less digits than its factorization.

212001100211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78510 (or 78470 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212001100211200 its reverse (2112001100212), we get a palindrome (214113101311412).

The spelling of 212001100211200 in words is "two hundred twelve trillion, one billion, one hundred million, two hundred eleven thousand, two hundred".