42122600 has 96 divisors (see below), whose sum is σ = 111789720. Its totient is φ = 14622720.

The previous prime is 42122599. The next prime is 42122611. The reversal of 42122600 is 622124.

It can be written as a sum of positive squares in 12 ways, for example, as 1085764 + 41036836 = 1042^2 + 6406^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43724 + ... + 44676.

Almost surely, 2^42122600 is an apocalyptic number.

42122600 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 42122600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55894860).

42122600 is an abundant number, since it is smaller than the sum of its proper divisors (69667120).

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

42122600 is a wasteful number, since it uses less digits than its factorization.

42122600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42122600 is about 6490.1926011483. The cubic root of 42122600 is about 347.9405588351.

Adding to 42122600 its reverse (622124), we get a palindrome (42744724).

The spelling of 42122600 in words is "forty-two million, one hundred twenty-two thousand, six hundred".