42112200 has 96 divisors (see below), whose sum is σ = 140616000. Its totient is φ = 10364160.

The previous prime is 42112193. The next prime is 42112201. The reversal of 42112200 is 221124.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42112201) 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, 5101 + ... + 10499.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^42112200 is an apocalyptic number.

42112200 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 42112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308000).

42112200 is an abundant number, since it is smaller than the sum of its proper divisors (98503800).

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

42112200 is a wasteful number, since it uses less digits than its factorization.

42112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 42112200 is about 6489.3913427994. The cubic root of 42112200 is about 347.9119211627.

Adding to 42112200 its reverse (221124), we get a palindrome (42333324).

It can be divided in two parts, 421 and 12200, that added together give a palindrome (12621).

The spelling of 42112200 in words is "forty-two million, one hundred twelve thousand, two hundred".