212012122012200 has 288 divisors, whose sum is σ = 732226874808000. Its totient is φ = 54944261729280.

The previous prime is 212012122012151. The next prime is 212012122012231. The reversal of 212012122012200 is 2210221210212.

It is a happy number.

212012122012200 is a `hidden beast` number, since 2 + 1 + 201 + 21 + 220 + 1 + 220 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8520252 + ... + 22284948.

Almost surely, 2^{212012122012200} is an apocalyptic number.

212012122012200 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 212012122012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366113437404000).

212012122012200 is an abundant number, since it is smaller than the sum of its proper divisors (520214752795800).

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

212012122012200 is a wasteful number, since it uses less digits than its factorization.

212012122012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13764961 (or 13764949 counting only the distinct ones).

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

Adding to 212012122012200 its reverse (2210221210212), we get a palindrome (214222343222412).

The spelling of 212012122012200 in words is "two hundred twelve trillion, twelve billion, one hundred twenty-two million, twelve thousand, two hundred".