1012022020000 has 120 divisors (see below), whose sum is σ = 2514381743412. Its totient is φ = 400800000000.

The previous prime is 1012022019949. The next prime is 1012022020057. The reversal of 1012022020000 is 202202101.

It can be written as a sum of positive squares in 10 ways, for example, as 140958197136 + 871063822864 = 375444^2 + 933308^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1769500 + ... + 2270500.

Almost surely, 2^{1012022020000} is an apocalyptic number.

1012022020000 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 1012022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257190871706).

1012022020000 is an abundant number, since it is smaller than the sum of its proper divisors (1502359723412).

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

1012022020000 is an equidigital number, since it uses as much as digits as its factorization.

1012022020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501132 (or 501109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1012022020000 its reverse (202202101), we get a palindrome (1012224222101).

The spelling of 1012022020000 in words is "one trillion, twelve billion, twenty-two million, twenty thousand".