120873865109760 has 2304 divisors, whose sum is σ = 506069544960000. Its totient is φ = 26753843331072.

The previous prime is 120873865109693. The next prime is 120873865109761. The reversal of 120873865109760 is 67901568378021.

120873865109760 is a `hidden beast` number, since 1 + 2 + 0 + 87 + 38 + 6 + 510 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×120873865109760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (120873865109761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 304468173882 + ... + 304468174278.

It is an arithmetic number, because the mean of its divisors is an integer number (219648240000).

Almost surely, 2^{120873865109760} is an apocalyptic number.

120873865109760 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 120873865109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253034772480000).

120873865109760 is an abundant number, since it is smaller than the sum of its proper divisors (385195679850240).

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

120873865109760 is a wasteful number, since it uses less digits than its factorization.

120873865109760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 120873865109760 in words is "one hundred twenty trillion, eight hundred seventy-three billion, eight hundred sixty-five million, one hundred nine thousand, seven hundred sixty".