211212111200 has 72 divisors (see below), whose sum is σ = 516332233872. Its totient is φ = 84368401920.

The previous prime is 211212111199. The next prime is 211212111217. The reversal of 211212111200 is 2111212112.

It is a super-4 number, since 4×211212111200⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400022 + ... + 763178.

It is an arithmetic number, because the mean of its divisors is an integer number (7171281026).

Almost surely, 2^211212111200 is an apocalyptic number.

211212111200 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 211212111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258166116936).

211212111200 is an abundant number, since it is smaller than the sum of its proper divisors (305120122672).

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

211212111200 is a wasteful number, since it uses less digits than its factorization.

211212111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363904 (or 363891 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211212111200 its reverse (2111212112), we get a palindrome (213323323312).

The spelling of 211212111200 in words is "two hundred eleven billion, two hundred twelve million, one hundred eleven thousand, two hundred".