22120002010000 has 200 divisors, whose sum is σ = 55424022635520. Its totient is φ = 8539417152000.

The previous prime is 22120002009983. The next prime is 22120002010019. The reversal of 22120002010000 is 1020002122.

It is a tau number, because it is divible by the number of its divisors (200).

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 (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 779215807 + ... + 779244193.

Almost surely, 2^{22120002010000} is an apocalyptic number.

22120002010000 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 22120002010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27712011317760).

22120002010000 is an abundant number, since it is smaller than the sum of its proper divisors (33304020625520).

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

22120002010000 is a wasteful number, since it uses less digits than its factorization.

22120002010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31131 (or 31110 counting only the distinct ones).

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

Adding to 22120002010000 its reverse (1020002122), we get a palindrome (22121022012122).

The spelling of 22120002010000 in words is "twenty-two trillion, one hundred twenty billion, two million, ten thousand".