1020033012 has 48 divisors (see below), whose sum is σ = 2525143040. Its totient is φ = 319570272.

The previous prime is 1020033011. The next prime is 1020033023. The reversal of 1020033012 is 2103300201.

It is a happy number.

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 (1020033011) 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 15 ways as a sum of consecutive naturals, for example, 11343 + ... + 46569.

Almost surely, 2^1020033012 is an apocalyptic number.

1020033012 is a gapful number since it is divisible by the number (12) 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 1020033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262571520).

1020033012 is an abundant number, since it is smaller than the sum of its proper divisors (1505110028).

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

1020033012 is a wasteful number, since it uses less digits than its factorization.

1020033012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35380 (or 35378 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1020033012 is about 31937.9556640684. The cubic root of 1020033012 is about 1006.6335691256.

Adding to 1020033012 its reverse (2103300201), we get a palindrome (3123333213).

The spelling of 1020033012 in words is "one billion, twenty million, thirty-three thousand, twelve".