120251728080 has 720 divisors, whose sum is σ = 469885800384. Its totient is φ = 27326730240.

The previous prime is 120251728039. The next prime is 120251728087. The reversal of 120251728080 is 80827152021.

120251728080 is a `hidden beast` number, since 120 + 251 + 7 + 280 + 8 + 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120251728087) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 391699287 + ... + 391699593.

Almost surely, 2^120251728080 is an apocalyptic number.

120251728080 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 120251728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234942900192).

120251728080 is an abundant number, since it is smaller than the sum of its proper divisors (349634072304).

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

120251728080 is a wasteful number, since it uses less digits than its factorization.

120251728080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 120251728080 in words is "one hundred twenty billion, two hundred fifty-one million, seven hundred twenty-eight thousand, eighty".