42120203200 has 168 divisors, whose sum is σ = 112861191600. Its totient is φ = 15410626560.

The previous prime is 42120203149. The next prime is 42120203201. The reversal of 42120203200 is 230202124.

42120203200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42120203200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120203201) 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, 857712 + ... + 905488.

Almost surely, 2^42120203200 is an apocalyptic number.

42120203200 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 42120203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56430595800).

42120203200 is an abundant number, since it is smaller than the sum of its proper divisors (70740988400).

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

42120203200 is a wasteful number, since it uses less digits than its factorization.

42120203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47847 (or 47832 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42120203200 its reverse (230202124), we get a palindrome (42350405324).

The spelling of 42120203200 in words is "forty-two billion, one hundred twenty million, two hundred three thousand, two hundred".