120441600 has 432 divisors, whose sum is σ = 479031840. Its totient is φ = 29491200.

The previous prime is 120441577. The next prime is 120441613. The reversal of 120441600 is 6144021.

120441600 is a `hidden beast` number, since 1 + 20 + 4 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 2937580 + ... + 2937620.

It is an arithmetic number, because the mean of its divisors is an integer number (1108870).

Almost surely, 2^120441600 is an apocalyptic number.

120441600 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 120441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239515920).

120441600 is an abundant number, since it is smaller than the sum of its proper divisors (358590240).

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

120441600 is a wasteful number, since it uses less digits than its factorization.

120441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 68 counting only the distinct ones).

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

The square root of 120441600 is about 10974.5888305667. The cubic root of 120441600 is about 493.8467182213.

Adding to 120441600 its reverse (6144021), we get a palindrome (126585621).

The spelling of 120441600 in words is "one hundred twenty million, four hundred forty-one thousand, six hundred".