211212111211200 has 672 divisors, whose sum is σ = 840025744197120. Its totient is φ = 51197800550400.

The previous prime is 211212111211163. The next prime is 211212111211223. The reversal of 211212111211200 is 2112111212112.

It is a happy number.

211212111211200 is a `hidden beast` number, since 21 + 1 + 21 + 211 + 1 + 211 + 200 = 666.

It is a super-2 number, since 2×211212111211200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7153170837 + ... + 7153200363.

Almost surely, 2^{211212111211200} is an apocalyptic number.

211212111211200 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 211212111211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420012872098560).

211212111211200 is an abundant number, since it is smaller than the sum of its proper divisors (628813632985920).

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

211212111211200 is a wasteful number, since it uses less digits than its factorization.

211212111211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44622 (or 44601 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211212111211200 its reverse (2112111212112), we get a palindrome (213324222423312).

The spelling of 211212111211200 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred eleven million, two hundred eleven thousand, two hundred".