120441600000 has 1152 divisors, whose sum is σ = 483690916800. Its totient is φ = 29491200000.

The previous prime is 120441599981. The next prime is 120441600073. The reversal of 120441600000 is 6144021.

120441600000 is a `hidden beast` number, since 1 + 20 + 4 + 41 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2937599980 + ... + 2937600020.

Almost surely, 2^120441600000 is an apocalyptic number.

120441600000 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 120441600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241845458400).

120441600000 is an abundant number, since it is smaller than the sum of its proper divisors (363249316800).

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

120441600000 is an frugal number, since it uses more digits than its factorization.

120441600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 68 counting only the distinct ones).

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

Adding to 120441600000 its reverse (6144021), we get a palindrome (120447744021).

The spelling of 120441600000 in words is "one hundred twenty billion, four hundred forty-one million, six hundred thousand".