42220105200 has 2160 divisors, whose sum is σ = 210369972960. Its totient is φ = 7942717440.

The previous prime is 42220105157. The next prime is 42220105201. The reversal of 42220105200 is 250102224.

42220105200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42220105201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2222110791 + ... + 2222110809.

It is an arithmetic number, because the mean of its divisors is an integer number (97393506).

Almost surely, 2^42220105200 is an apocalyptic number.

42220105200 is a gapful number since it is divisible by the number (40) 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 42220105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105184986480).

42220105200 is an abundant number, since it is smaller than the sum of its proper divisors (168149867760).

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

42220105200 is a wasteful number, since it uses less digits than its factorization.

42220105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 42220105200 its reverse (250102224), we get a palindrome (42470207424).

The spelling of 42220105200 in words is "forty-two billion, two hundred twenty million, one hundred five thousand, two hundred".