212000121000 has 576 divisors, whose sum is σ = 763185599280. Its totient is φ = 53038540800.

The previous prime is 212000120989. The next prime is 212000121013. The reversal of 212000121000 is 121000212.

It can be written as a sum of positive squares in 24 ways, for example, as 17820648036 + 194179472964 = 133494^2 + 440658^2 .

It is a super-3 number, since 3×212000121000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 280052622 + ... + 280053378.

Almost surely, 2^212000121000 is an apocalyptic number.

212000121000 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 212000121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381592799640).

212000121000 is an abundant number, since it is smaller than the sum of its proper divisors (551185478280).

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

212000121000 is a wasteful number, since it uses less digits than its factorization.

212000121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212000121000 its reverse (121000212), we get a palindrome (212121121212).

The spelling of 212000121000 in words is "two hundred twelve billion, one hundred twenty-one thousand".