212211121000 has 96 divisors (see below), whose sum is σ = 508985020440. Its totient is φ = 82813440000.

The previous prime is 212211120997. The next prime is 212211121033. The reversal of 212211121000 is 121112212.

It can be written as a sum of positive squares in 12 ways, for example, as 160027201156 + 52183919844 = 400034^2 + 228438^2 .

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, 1617880 + ... + 1744120.

Almost surely, 2^212211121000 is an apocalyptic number.

212211121000 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 212211121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254492510220).

212211121000 is an abundant number, since it is smaller than the sum of its proper divisors (296773899440).

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

212211121000 is a wasteful number, since it uses less digits than its factorization.

212211121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126344 (or 126289 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212211121000 its reverse (121112212), we get a palindrome (212332233212).

The spelling of 212211121000 in words is "two hundred twelve billion, two hundred eleven million, one hundred twenty-one thousand".