22210120202112 has 768 divisors, whose sum is σ = 71640852192000. Its totient is φ = 6576689479680.

The previous prime is 22210120202033. The next prime is 22210120202129. The reversal of 22210120202112 is 21120202101222.

It is a happy number.

22210120202112 is a `hidden beast` number, since 22 + 210 + 120 + 202 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2755935939 + ... + 2755943997.

It is an arithmetic number, because the mean of its divisors is an integer number (93282359625).

Almost surely, 2^{22210120202112} 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 22210120202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35820426096000).

22210120202112 is an abundant number, since it is smaller than the sum of its proper divisors (49430731989888).

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

22210120202112 is a wasteful number, since it uses less digits than its factorization.

22210120202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22210120202112 its reverse (21120202101222), we get a palindrome (43330322303334).

The spelling of 22210120202112 in words is "twenty-two trillion, two hundred ten billion, one hundred twenty million, two hundred two thousand, one hundred twelve".