212122121200 has 120 divisors (see below), whose sum is σ = 556118798976. Its totient is φ = 77112288000.

The previous prime is 212122121171. The next prime is 212122121207. The reversal of 212122121200 is 2121221212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122121207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23328655 + ... + 23337745.

Almost surely, 2^212122121200 is an apocalyptic number.

212122121200 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 212122121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278059399488).

212122121200 is an abundant number, since it is smaller than the sum of its proper divisors (343996677776).

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

212122121200 is a wasteful number, since it uses less digits than its factorization.

212122121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14423 (or 14412 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212122121200 its reverse (2121221212), we get a palindrome (214243342412).

212122121200 divided by its reverse (2121221212) gives a square (100 = 10²).

It can be divided in two parts, 21212 and 2121200, that multiplied together give a square (44994894400 = 212120²).

The spelling of 212122121200 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".