120558654720 has 1152 divisors, whose sum is σ = 522175610880. Its totient is φ = 25741393920.

The previous prime is 120558654679. The next prime is 120558654731. The reversal of 120558654720 is 27456855021.

120558654720 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 5 + 86 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261515290 + ... + 261515750.

It is an arithmetic number, because the mean of its divisors is an integer number (453277440).

Almost surely, 2^120558654720 is an apocalyptic number.

120558654720 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 120558654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261087805440).

120558654720 is an abundant number, since it is smaller than the sum of its proper divisors (401616956160).

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

120558654720 is a wasteful number, since it uses less digits than its factorization.

120558654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 120558654720 in words is "one hundred twenty billion, five hundred fifty-eight million, six hundred fifty-four thousand, seven hundred twenty".