120609561600 has 1056 divisors, whose sum is σ = 500751878400. Its totient is φ = 28178841600.

The previous prime is 120609561599. The next prime is 120609561617. The reversal of 120609561600 is 6165906021.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220492527 + ... + 220493073.

Almost surely, 2^120609561600 is an apocalyptic number.

120609561600 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 120609561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250375939200).

120609561600 is an abundant number, since it is smaller than the sum of its proper divisors (380142316800).

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

120609561600 is a wasteful number, since it uses less digits than its factorization.

120609561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 120609561600 in words is "one hundred twenty billion, six hundred nine million, five hundred sixty-one thousand, six hundred".