120103120 has 40 divisors (see below), whose sum is σ = 280328040. Its totient is φ = 47854080.

The previous prime is 120103111. The next prime is 120103129. The reversal of 120103120 is 21301021.

It is an interprime number because it is at equal distance from previous prime (120103111) and next prime (120103129).

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 119946304 = 396^2 + 10952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120103097 and 120103106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120103129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18730 + ... + 24310.

It is an arithmetic number, because the mean of its divisors is an integer number (7008201).

Almost surely, 2^120103120 is an apocalyptic number.

120103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120103120 is an abundant number, since it is smaller than the sum of its proper divisors (160224920).

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

120103120 is a wasteful number, since it uses less digits than its factorization.

120103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 120103120 is about 10959.1569018789. The cubic root of 120103120 is about 493.3836609642.

Adding to 120103120 its reverse (21301021), we get a palindrome (141404141).

The spelling of 120103120 in words is "one hundred twenty million, one hundred three thousand, one hundred twenty".