103012003120 has 120 divisors (see below), whose sum is σ = 259880130000. Its totient is φ = 37956492288.

The previous prime is 103012003099. The next prime is 103012003151. The reversal of 103012003120 is 21300210301.

It is a super-3 number, since 3×103012003120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 103012003120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6738846 + ... + 6754114.

It is an arithmetic number, because the mean of its divisors is an integer number (2165667750).

Almost surely, 2^103012003120 is an apocalyptic number.

103012003120 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 103012003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129940065000).

103012003120 is an abundant number, since it is smaller than the sum of its proper divisors (156868126880).

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

103012003120 is a wasteful number, since it uses less digits than its factorization.

103012003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15807 (or 15788 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103012003120 its reverse (21300210301), we get a palindrome (124312213421).

The spelling of 103012003120 in words is "one hundred three billion, twelve million, three thousand, one hundred twenty".