212212111200 has 72 divisors (see below), whose sum is σ = 690750429768. Its totient is φ = 56589895680.

The previous prime is 212212111159. The next prime is 212212111201. The reversal of 212212111200 is 2111212212.

212212111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212212111200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212212111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212111201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 44208457 + ... + 44213256.

It is an arithmetic number, because the mean of its divisors is an integer number (9593755969).

Almost surely, 2^212212111200 is an apocalyptic number.

212212111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212111200 is an abundant number, since it is smaller than the sum of its proper divisors (478538318568).

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

212212111200 is a wasteful number, since it uses less digits than its factorization.

212212111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88421736 (or 88421723 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212212111200 its reverse (2111212212), we get a palindrome (214323323412).

The spelling of 212212111200 in words is "two hundred twelve billion, two hundred twelve million, one hundred eleven thousand, two hundred".