1003012002420 has 48 divisors (see below), whose sum is σ = 2839989055680. Its totient is φ = 264464586496.

The previous prime is 1003012002413. The next prime is 1003012002427. The reversal of 1003012002420 is 242002103001.

It is an interprime number because it is at equal distance from previous prime (1003012002413) and next prime (1003012002427).

It is a super-3 number, since 3×1003012002420³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1003012002420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003012002427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93909642 + ... + 93920321.

It is an arithmetic number, because the mean of its divisors is an integer number (59166438660).

Almost surely, 2^{1003012002420} is an apocalyptic number.

1003012002420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003012002420 is an abundant number, since it is smaller than the sum of its proper divisors (1836977053260).

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

1003012002420 is a wasteful number, since it uses less digits than its factorization.

1003012002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187830064 (or 187830062 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1003012002420 its reverse (242002103001), we get a palindrome (1245014105421).

The spelling of 1003012002420 in words is "one trillion, three billion, twelve million, two thousand, four hundred twenty".