1042201020 has 96 divisors (see below), whose sum is σ = 3344140800. Its totient is φ = 237567744.

The previous prime is 1042201003. The next prime is 1042201021. The reversal of 1042201020 is 201022401.

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

It is a junction number, because it is equal to n+sod(n) for n = 1042200987 and 1042201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042201021) 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 31 ways as a sum of consecutive naturals, for example, 160191 + ... + 166569.

It is an arithmetic number, because the mean of its divisors is an integer number (34834800).

Almost surely, 2^1042201020 is an apocalyptic number.

1042201020 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 1042201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672070400).

1042201020 is an abundant number, since it is smaller than the sum of its proper divisors (2301939780).

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

1042201020 is a wasteful number, since it uses less digits than its factorization.

1042201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787 (or 6785 counting only the distinct ones).

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

The square root of 1042201020 is about 32283.1383232795. The cubic root of 1042201020 is about 1013.8736386934.

Adding to 1042201020 its reverse (201022401), we get a palindrome (1243223421).

The spelling of 1042201020 in words is "one billion, forty-two million, two hundred one thousand, twenty".