22002022202112 has 216 divisors, whose sum is σ = 64237281217200. Its totient is φ = 7241740222464.

The previous prime is 22002022202077. The next prime is 22002022202117. The reversal of 22002022202112 is 21120222020022.

22002022202112 is a `hidden beast` number, since 220 + 0 + 202 + 220 + 21 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22002022202117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151463788 + ... + 151608980.

It is an arithmetic number, because the mean of its divisors is an integer number (297394820450).

Almost surely, 2^{22002022202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002022202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32118640608600).

22002022202112 is an abundant number, since it is smaller than the sum of its proper divisors (42235259015088).

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

22002022202112 is a wasteful number, since it uses less digits than its factorization.

22002022202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146043 (or 146026 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22002022202112 its reverse (21120222020022), we get a palindrome (43122244222134).

The spelling of 22002022202112 in words is "twenty-two trillion, two billion, twenty-two million, two hundred two thousand, one hundred twelve".