120571429680 has 720 divisors, whose sum is σ = 487529733600. Its totient is φ = 26450509824.

The previous prime is 120571429673. The next prime is 120571429709. The reversal of 120571429680 is 86924175021.

120571429680 is a `hidden beast` number, since 12 + 0 + 571 + 4 + 2 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57441271 + ... + 57443369.

It is an arithmetic number, because the mean of its divisors is an integer number (677124630).

Almost surely, 2^120571429680 is an apocalyptic number.

120571429680 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 120571429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243764866800).

120571429680 is an abundant number, since it is smaller than the sum of its proper divisors (366958303920).

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

120571429680 is a wasteful number, since it uses less digits than its factorization.

120571429680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 120571429680 in words is "one hundred twenty billion, five hundred seventy-one million, four hundred twenty-nine thousand, six hundred eighty".