1000042200 has 336 divisors, whose sum is σ = 3679693800. Its totient is φ = 252642240.

The previous prime is 1000042157. The next prime is 1000042207. The reversal of 1000042200 is 22400001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000042207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 52633791 + ... + 52633809.

Almost surely, 2^1000042200 is an apocalyptic number.

1000042200 is a gapful number since it is divisible by the number (10) 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 1000042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839846900).

1000042200 is an abundant number, since it is smaller than the sum of its proper divisors (2679651600).

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

1000042200 is an frugal number, since it uses more digits than its factorization.

1000042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1000042200 is about 31623.4438352308. The cubic root of 1000042200 is about 1000.0140664688.

Adding to 1000042200 its reverse (22400001), we get a palindrome (1022442201).

The spelling of 1000042200 in words is "one billion, forty-two thousand, two hundred".