120013103200 has 72 divisors (see below), whose sum is σ = 299795608728. Its totient is φ = 46888826880.

The previous prime is 120013103183. The next prime is 120013103251. The reversal of 120013103200 is 2301310021.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1709977 + ... + 1778776.

It is an arithmetic number, because the mean of its divisors is an integer number (4163827899).

Almost surely, 2^120013103200 is an apocalyptic number.

120013103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120013103200 is an abundant number, since it is smaller than the sum of its proper divisors (179782505528).

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

120013103200 is a wasteful number, since it uses less digits than its factorization.

120013103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488816 (or 3488803 counting only the distinct ones).

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

Adding to 120013103200 its reverse (2301310021), we get a palindrome (122314413221).

It can be divided in two parts, 1200 and 13103200, that added together give a square (13104400 = 3620²).

The spelling of 120013103200 in words is "one hundred twenty billion, thirteen million, one hundred three thousand, two hundred".