120501600 has 288 divisors, whose sum is σ = 427472640. Its totient is φ = 29399040.

The previous prime is 120501599. The next prime is 120501607. The reversal of 120501600 is 6105021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120501600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120501607) 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, 2042371 + ... + 2042429.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^120501600 is an apocalyptic number.

120501600 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 120501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

120501600 is an abundant number, since it is smaller than the sum of its proper divisors (306971040).

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

120501600 is a wasteful number, since it uses less digits than its factorization.

120501600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 120501600 is about 10977.3220778111. The cubic root of 120501600 is about 493.9287106118.

Adding to 120501600 its reverse (6105021), we get a palindrome (126606621).

The spelling of 120501600 in words is "one hundred twenty million, five hundred one thousand, six hundred".