2177112405120 has 64 divisors (see below), whose sum is σ = 6939545797440. Its totient is φ = 580563307520.

The previous prime is 2177112405109. The next prime is 2177112405121. The reversal of 2177112405120 is 215042117712.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2177112405121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566954436 + ... + 566958275.

It is an arithmetic number, because the mean of its divisors is an integer number (108430403085).

Almost surely, 2^{2177112405120} is an apocalyptic number.

2177112405120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2177112405120 is an abundant number, since it is smaller than the sum of its proper divisors (4762433392320).

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

2177112405120 is a wasteful number, since it uses less digits than its factorization.

2177112405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133912733 (or 1133912721 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The spelling of 2177112405120 in words is "two trillion, one hundred seventy-seven billion, one hundred twelve million, four hundred five thousand, one hundred twenty".