212001221000 has 192 divisors, whose sum is σ = 528301640880. Its totient is φ = 79611033600.

The previous prime is 212001220997. The next prime is 212001221009. The reversal of 212001221000 is 122100212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5897932804 + 206103288196 = 76798^2 + 453986^2 .

It is not an unprimeable number, because it can be changed into a prime (212001221009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40790402 + ... + 40795598.

Almost surely, 2^212001221000 is an apocalyptic number.

212001221000 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 212001221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264150820440).

212001221000 is an abundant number, since it is smaller than the sum of its proper divisors (316300419880).

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

212001221000 is a wasteful number, since it uses less digits than its factorization.

212001221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212001221000 its reverse (122100212), we get a palindrome (212123321212).

The spelling of 212001221000 in words is "two hundred twelve billion, one million, two hundred twenty-one thousand".