22301121110112 has 576 divisors, whose sum is σ = 76665144052224. Its totient is φ = 6080976322560.

The previous prime is 22301121110063. The next prime is 22301121110123. The reversal of 22301121110112 is 21101112110322.

It is a happy number.

22301121110112 is a `hidden beast` number, since 22 + 301 + 121 + 110 + 112 = 666.

It is a super-3 number, since 3×22301121110112³ (a number of 41 digits) contains 333 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72851518 + ... + 73156994.

It is an arithmetic number, because the mean of its divisors is an integer number (133099208424).

Almost surely, 2^{22301121110112} 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 22301121110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38332572026112).

22301121110112 is an abundant number, since it is smaller than the sum of its proper divisors (54364022942112).

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

22301121110112 is a wasteful number, since it uses less digits than its factorization.

22301121110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305591 (or 305580 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 22301121110112 its reverse (21101112110322), we get a palindrome (43402233220434).

The spelling of 22301121110112 in words is "twenty-two trillion, three hundred one billion, one hundred twenty-one million, one hundred ten thousand, one hundred twelve".