1003212120 has 64 divisors (see below), whose sum is σ = 3011724000. Its totient is φ = 267337728.

The previous prime is 1003212113. The next prime is 1003212151. The reversal of 1003212120 is 212123001.

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 = 1003212096 and 1003212105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321126 + ... + 324234.

Almost surely, 2^1003212120 is an apocalyptic number.

1003212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003212120 is an abundant number, since it is smaller than the sum of its proper divisors (2008511880).

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

1003212120 is a wasteful number, since it uses less digits than its factorization.

1003212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1003212120 is about 31673.5239592945. The cubic root of 1003212120 is about 1001.0695622953.

Adding to 1003212120 its reverse (212123001), we get a palindrome (1215335121).

The spelling of 1003212120 in words is "one billion, three million, two hundred twelve thousand, one hundred twenty".