42111300 has 144 divisors (see below), whose sum is σ = 151990272. Its totient is φ = 8745600.

The previous prime is 42111287. The next prime is 42111313. The reversal of 42111300 is 311124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42111287) and next prime (42111313).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22189 + ... + 24011.

It is an arithmetic number, because the mean of its divisors is an integer number (1055488).

Almost surely, 2^42111300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75995136).

42111300 is an abundant number, since it is smaller than the sum of its proper divisors (109878972).

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

42111300 is a wasteful number, since it uses less digits than its factorization.

42111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 42111300 is about 6489.3219984834. The cubic root of 42111300 is about 347.9094426809.

Adding to 42111300 its reverse (311124), we get a palindrome (42422424).

The spelling of 42111300 in words is "forty-two million, one hundred eleven thousand, three hundred".