212141041200 has 420 divisors, whose sum is σ = 833634833688. Its totient is φ = 51427353600.

The previous prime is 212141041139. The next prime is 212141041201. The reversal of 212141041200 is 2140141212.

212141041200 is a `hidden beast` number, since 2 + 12 + 1 + 410 + 41 + 200 = 666.

It is a super-2 number, since 2×212141041200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212141041201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3174532 + ... + 3240668.

Almost surely, 2^212141041200 is an apocalyptic number.

212141041200 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 212141041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416817416844).

212141041200 is an abundant number, since it is smaller than the sum of its proper divisors (621493792488).

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

212141041200 is a wasteful number, since it uses less digits than its factorization.

212141041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66184 (or 66158 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212141041200 its reverse (2140141212), we get a palindrome (214281182412).

The spelling of 212141041200 in words is "two hundred twelve billion, one hundred forty-one million, forty-one thousand, two hundred".