120144600 has 192 divisors, whose sum is σ = 435984000. Its totient is φ = 30326400.

The previous prime is 120144589. The next prime is 120144611. The reversal of 120144600 is 6441021.

120144600 is a `hidden beast` number, since 1 + 20 + 1 + 44 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (120144589) and next prime (120144611).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102015 + ... + 103185.

It is an arithmetic number, because the mean of its divisors is an integer number (2270750).

Almost surely, 2^120144600 is an apocalyptic number.

120144600 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 120144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217992000).

120144600 is an abundant number, since it is smaller than the sum of its proper divisors (315839400).

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

120144600 is a wasteful number, since it uses less digits than its factorization.

120144600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120144600 is about 10961.0492198512. The cubic root of 120144600 is about 493.4404543781.

Adding to 120144600 its reverse (6441021), we get a palindrome (126585621).

The spelling of 120144600 in words is "one hundred twenty million, one hundred forty-four thousand, six hundred".