212211021200 has 120 divisors (see below), whose sum is σ = 518924662440. Its totient is φ = 83375308800.

The previous prime is 212211021193. The next prime is 212211021257. The reversal of 212211021200 is 2120112212.

It can be written as a sum of positive squares in 12 ways, for example, as 135000395776 + 77210625424 = 367424^2 + 277868^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18465056 + ... + 18476544.

It is an arithmetic number, because the mean of its divisors is an integer number (4324372187).

Almost surely, 2^212211021200 is an apocalyptic number.

212211021200 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 212211021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259462331220).

212211021200 is an abundant number, since it is smaller than the sum of its proper divisors (306713641240).

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

212211021200 is a wasteful number, since it uses less digits than its factorization.

212211021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12325 (or 12314 counting only the distinct ones).

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

Adding to 212211021200 its reverse (2120112212), we get a palindrome (214331133412).

The spelling of 212211021200 in words is "two hundred twelve billion, two hundred eleven million, twenty-one thousand, two hundred".