22201012022112 has 288 divisors, whose sum is σ = 78873028625664. Its totient is φ = 5754749414400.

The previous prime is 22201012022089. The next prime is 22201012022131. The reversal of 22201012022112 is 21122021010222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×22201012022112⁴ (a number of 54 digits) contains 4444 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 47 ways as a sum of consecutive naturals, for example, 9868938 + ... + 11907894.

It is an arithmetic number, because the mean of its divisors is an integer number (273864682728).

Almost surely, 2^{22201012022112} is an apocalyptic number.

22201012022112 is a gapful number since it is divisible by the number (22) 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 22201012022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39436514312832).

22201012022112 is an abundant number, since it is smaller than the sum of its proper divisors (56672016603552).

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

22201012022112 is a wasteful number, since it uses less digits than its factorization.

22201012022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039482 (or 2039471 counting only the distinct ones).

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

Adding to 22201012022112 its reverse (21122021010222), we get a palindrome (43323033032334).

The spelling of 22201012022112 in words is "twenty-two trillion, two hundred one billion, twelve million, twenty-two thousand, one hundred twelve".