42206125200 has 60 divisors (see below), whose sum is σ = 135200291568. Its totient is φ = 11254966400.

The previous prime is 42206125193. The next prime is 42206125201. The reversal of 42206125200 is 252160224.

It is a happy number.

42206125200 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 (60).

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

It is not an unprimeable number, because it can be changed into a prime (42206125201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17584686 + ... + 17587085.

Almost surely, 2^42206125200 is an apocalyptic number.

42206125200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42206125200 is an abundant number, since it is smaller than the sum of its proper divisors (92994166368).

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

42206125200 is a wasteful number, since it uses less digits than its factorization.

42206125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35171792 (or 35171781 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 42206125200 its reverse (252160224), we get a palindrome (42458285424).

The spelling of 42206125200 in words is "forty-two billion, two hundred six million, one hundred twenty-five thousand, two hundred".