22142204041200 has 120 divisors (see below), whose sum is σ = 70930071903600. Its totient is φ = 5904486881280.

The previous prime is 22142204041151. The next prime is 22142204041201. The reversal of 22142204041200 is 214040224122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×22142204041200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142204041201) 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, 93108046 + ... + 93345554.

It is an arithmetic number, because the mean of its divisors is an integer number (591083932530).

Almost surely, 2^{22142204041200} is an apocalyptic number.

22142204041200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142204041200 is an abundant number, since it is smaller than the sum of its proper divisors (48787867862400).

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

22142204041200 is a wasteful number, since it uses less digits than its factorization.

22142204041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315219 (or 315208 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22142204041200 its reverse (214040224122), we get a palindrome (22356244265322).

The spelling of 22142204041200 in words is "twenty-two trillion, one hundred forty-two billion, two hundred four million, forty-one thousand, two hundred".