120123360 has 288 divisors, whose sum is σ = 496746432. Its totient is φ = 25804800.

The previous prime is 120123359. The next prime is 120123361. The reversal of 120123360 is 63321021.

It is an interprime number because it is at equal distance from previous prime (120123359) and next prime (120123361).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120123361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171010 + ... + 171710.

It is an arithmetic number, because the mean of its divisors is an integer number (1724814).

Almost surely, 2^120123360 is an apocalyptic number.

120123360 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 120123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248373216).

120123360 is an abundant number, since it is smaller than the sum of its proper divisors (376623072).

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

120123360 is a wasteful number, since it uses less digits than its factorization.

120123360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 120123360 is about 10960.0802916767. The cubic root of 120123360 is about 493.4113747166.

Adding to 120123360 its reverse (63321021), we get a palindrome (183444381).

The spelling of 120123360 in words is "one hundred twenty million, one hundred twenty-three thousand, three hundred sixty".