22120020100000 has 288 divisors, whose sum is σ = 55066793468400. Its totient is φ = 8745216000000.

The previous prime is 22120020099949. The next prime is 22120020100001. The reversal of 22120020100000 is 102002122.

It can be written as a sum of positive squares in 24 ways, for example, as 11484046771344 + 10635973328656 = 3388812^2 + 3261284^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 22120020100000.

It is not an unprimeable number, because it can be changed into a prime (22120020100001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7160898456 + ... + 7160901544.

Almost surely, 2^{22120020100000} is an apocalyptic number.

22120020100000 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 22120020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27533396734200).

22120020100000 is an abundant number, since it is smaller than the sum of its proper divisors (32946773368400).

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

22120020100000 is an equidigital number, since it uses as much as digits as its factorization.

22120020100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3906 counting only the distinct ones).

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

Adding to 22120020100000 its reverse (102002122), we get a palindrome (22120122102122).

The spelling of 22120020100000 in words is "twenty-two trillion, one hundred twenty billion, twenty million, one hundred thousand".