212012021000 has 192 divisors, whose sum is σ = 541186148880. Its totient is φ = 77701478400.

The previous prime is 212012020991. The next prime is 212012021027. The reversal of 212012021000 is 120210212.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 178065432484 + 33946588516 = 421978^2 + 184246^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23148422 + ... + 23157578.

Almost surely, 2^212012021000 is an apocalyptic number.

212012021000 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 212012021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270593074440).

212012021000 is an abundant number, since it is smaller than the sum of its proper divisors (329174127880).

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

212012021000 is a wasteful number, since it uses less digits than its factorization.

212012021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9341 (or 9314 counting only the distinct ones).

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

Adding to 212012021000 its reverse (120210212), we get a palindrome (212132231212).

The spelling of 212012021000 in words is "two hundred twelve billion, twelve million, twenty-one thousand".