120011673600 has 1872 divisors, whose sum is σ = 558999971712. Its totient is φ = 24843386880.

The previous prime is 120011673589. The next prime is 120011673629. The reversal of 120011673600 is 6376110021.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 2264371174 + ... + 2264371226.

It is an arithmetic number, because the mean of its divisors is an integer number (298611096).

Almost surely, 2^120011673600 is an apocalyptic number.

120011673600 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 120011673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279499985856).

120011673600 is an abundant number, since it is smaller than the sum of its proper divisors (438988298112).

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

120011673600 is an equidigital number, since it uses as much as digits as its factorization.

120011673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 120011673600 its reverse (6376110021), we get a palindrome (126387783621).

The spelling of 120011673600 in words is "one hundred twenty billion, eleven million, six hundred seventy-three thousand, six hundred".