22120200102000 has 5120 divisors, whose sum is σ = 107487520358400. Its totient is φ = 3784734720000.

The previous prime is 22120200101977. The next prime is 22120200102017. The reversal of 22120200102000 is 20100202122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 597843245982 + ... + 597843246018.

It is an arithmetic number, because the mean of its divisors is an integer number (20993656320).

Almost surely, 2^{22120200102000} is an apocalyptic number.

22120200102000 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 22120200102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53743760179200).

22120200102000 is an abundant number, since it is smaller than the sum of its proper divisors (85367320256400).

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

22120200102000 is a wasteful number, since it uses less digits than its factorization.

22120200102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22120200102000 its reverse (20100202122), we get a palindrome (22140300304122).

The spelling of 22120200102000 in words is "twenty-two trillion, one hundred twenty billion, two hundred million, one hundred two thousand".