42120144200200 has 96 divisors (see below), whose sum is σ = 111476871898560. Its totient is φ = 14650484921600.

The previous prime is 42120144200191. The next prime is 42120144200203. The reversal of 42120144200200 is 200244102124.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (42120144200203) 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, 416156359 + ... + 416257558.

It is an arithmetic number, because the mean of its divisors is an integer number (1161217415610).

Almost surely, 2^{42120144200200} is an apocalyptic number.

42120144200200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42120144200200 is an abundant number, since it is smaller than the sum of its proper divisors (69356727698360).

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

42120144200200 is a wasteful number, since it uses less digits than its factorization.

42120144200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832413967 (or 832413958 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 42120144200200 its reverse (200244102124), we get a palindrome (42320388302324).

The spelling of 42120144200200 in words is "forty-two trillion, one hundred twenty billion, one hundred forty-four million, two hundred thousand, two hundred".