212201121200 has 120 divisors (see below), whose sum is σ = 517038603840. Its totient is φ = 83684608000.

The previous prime is 212201121191. The next prime is 212201121203. The reversal of 212201121200 is 2121102212.

It is not an unprimeable number, because it can be changed into a prime (212201121203) 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, 9644612 + ... + 9666588.

It is an arithmetic number, because the mean of its divisors is an integer number (4308655032).

Almost surely, 2^212201121200 is an apocalyptic number.

212201121200 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 212201121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258519301920).

212201121200 is an abundant number, since it is smaller than the sum of its proper divisors (304837482640).

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

212201121200 is a wasteful number, since it uses less digits than its factorization.

212201121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22335 (or 22324 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212201121200 its reverse (2121102212), we get a palindrome (214322223412).

The spelling of 212201121200 in words is "two hundred twelve billion, two hundred one million, one hundred twenty-one thousand, two hundred".