22001002020000 has 180 divisors, whose sum is σ = 78181661367810. Its totient is φ = 5866933824000.

The previous prime is 22001002019999. The next prime is 22001002020071. The reversal of 22001002020000 is 2020010022.

It can be written as a sum of positive squares in 5 ways, for example, as 2473334963856 + 19527667056144 = 1572684^2 + 4419012^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 60933895 + ... + 61293894.

Almost surely, 2^{22001002020000} is an apocalyptic number.

22001002020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001002020000 is an abundant number, since it is smaller than the sum of its proper divisors (56180659347810).

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

22001002020000 is a wasteful number, since it uses less digits than its factorization.

22001002020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122227825 (or 122227799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22001002020000 its reverse (2020010022), we get a palindrome (22003022030022).

The spelling of 22001002020000 in words is "twenty-two trillion, one billion, two million, twenty thousand".