120985505676000 has 288 divisors, whose sum is σ = 490717212043968. Its totient is φ = 27653829811200.

The previous prime is 120985505675939. The next prime is 120985505676151. The reversal of 120985505676000 is 676505589021.

120985505676000 is a `hidden beast` number, since 1 + 20 + 9 + 8 + 5 + 5 + 0 + 5 + 6 + 7 + 600 + 0 = 666.

120985505676000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 239798607 + ... + 240302606.

It is an arithmetic number, because the mean of its divisors is an integer number (1703879208486).

Almost surely, 2^{120985505676000} is an apocalyptic number.

120985505676000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120985505676000 is an abundant number, since it is smaller than the sum of its proper divisors (369731706367968).

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

120985505676000 is a wasteful number, since it uses less digits than its factorization.

120985505676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480101251 (or 480101230 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 120985505676000 in words is "one hundred twenty trillion, nine hundred eighty-five billion, five hundred five million, six hundred seventy-six thousand".