120001305600 has 660 divisors, whose sum is σ = 484838385768. Its totient is φ = 29085696000.

The previous prime is 120001305577. The next prime is 120001305649. The reversal of 120001305600 is 6503100021.

It is a tau number, because it is divible by the number of its divisors (660).

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 59 ways as a sum of consecutive naturals, for example, 22806970 + ... + 22812230.

Almost surely, 2^120001305600 is an apocalyptic number.

120001305600 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 120001305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242419192884).

120001305600 is an abundant number, since it is smaller than the sum of its proper divisors (364837080168).

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

120001305600 is a wasteful number, since it uses less digits than its factorization.

120001305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 120001305600 its reverse (6503100021), we get a palindrome (126504405621).

The spelling of 120001305600 in words is "one hundred twenty billion, one million, three hundred five thousand, six hundred".