1003012020 has 144 divisors (see below), whose sum is σ = 3116550528. Its totient is φ = 261031680.

The previous prime is 1003012013. The next prime is 1003012027. The reversal of 1003012020 is 202103001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1003012013) and next prime (1003012027).

It is a super-2 number, since 2×1003012020² = 2012066224528960800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1003011993 and 1003012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003012027) 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 47 ways as a sum of consecutive naturals, for example, 1833387 + ... + 1833933.

It is an arithmetic number, because the mean of its divisors is an integer number (21642712).

Almost surely, 2^1003012020 is an apocalyptic number.

1003012020 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 1003012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558275264).

1003012020 is an abundant number, since it is smaller than the sum of its proper divisors (2113538508).

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

1003012020 is a wasteful number, since it uses less digits than its factorization.

1003012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1003012020 is about 31670.3650121056. The cubic root of 1003012020 is about 1001.0030003207.

Adding to 1003012020 its reverse (202103001), we get a palindrome (1205115021).

The spelling of 1003012020 in words is "one billion, three million, twelve thousand, twenty".