1012122020000 has 480 divisors, whose sum is σ = 3225984854400. Its totient is φ = 303450624000.

The previous prime is 1012122019973. The next prime is 1012122020003. The reversal of 1012122020000 is 202212101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1012122020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34565366 + ... + 34594634.

It is an arithmetic number, because the mean of its divisors is an integer number (6720801780).

Almost surely, 2^{1012122020000} is an apocalyptic number.

1012122020000 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 1012122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612992427200).

1012122020000 is an abundant number, since it is smaller than the sum of its proper divisors (2213862834400).

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

1012122020000 is a wasteful number, since it uses less digits than its factorization.

1012122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29338 (or 29315 counting only the distinct ones).

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

Adding to 1012122020000 its reverse (202212101), we get a palindrome (1012324232101).

It can be divided in two parts, 101212 and 2020000, that added together give a palindrome (2121212).

The spelling of 1012122020000 in words is "one trillion, twelve billion, one hundred twenty-two million, twenty thousand".