1000212020000 has 120 divisors (see below), whose sum is σ = 2461368856716. Its totient is φ = 399971456000.

The previous prime is 1000212019999. The next prime is 1000212020029. The reversal of 1000212020000 is 202120001.

It can be written as a sum of positive squares in 10 ways, for example, as 106816541584 + 893395478416 = 326828^2 + 945196^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1000212020000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133056242 + ... + 133063758.

Almost surely, 2^{1000212020000} is an apocalyptic number.

1000212020000 is a gapful number since it is divisible by the number (10) 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 1000212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230684428358).

1000212020000 is an abundant number, since it is smaller than the sum of its proper divisors (1461156836716).

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

1000212020000 is an frugal number, since it uses more digits than its factorization.

1000212020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14200 (or 14177 counting only the distinct ones).

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

Adding to 1000212020000 its reverse (202120001), we get a palindrome (1000414140001).

The spelling of 1000212020000 in words is "one trillion, two hundred twelve million, twenty thousand".