2022001012000 has 768 divisors, whose sum is σ = 5581434418560. Its totient is φ = 716636160000.

The previous prime is 2022001011991. The next prime is 2022001012033. The reversal of 2022001012000 is 2101002202.

It can be written as a sum of positive squares in 64 ways, for example, as 75741644944 + 1946259367056 = 275212^2 + 1395084^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18550467946 + ... + 18550468054.

Almost surely, 2^{2022001012000} is an apocalyptic number.

2022001012000 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 2022001012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790717209280).

2022001012000 is an abundant number, since it is smaller than the sum of its proper divisors (3559433406560).

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

2022001012000 is a wasteful number, since it uses less digits than its factorization.

2022001012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

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

Adding to 2022001012000 its reverse (2101002202), we get a palindrome (2024102014202).

The spelling of 2022001012000 in words is "two trillion, twenty-two billion, one million, twelve thousand".