120855668613120 has 560 divisors, whose sum is σ = 495158388566688. Its totient is φ = 27624147517440.

The previous prime is 120855668613061. The next prime is 120855668613143. The reversal of 120855668613120 is 21316866558021.

120855668613120 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 5 + 5 + 6 + 6 + 8 + 613 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×120855668613120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20622400 + ... + 25826240.

Almost surely, 2^{120855668613120} is an apocalyptic number.

120855668613120 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 120855668613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247579194283344).

120855668613120 is an abundant number, since it is smaller than the sum of its proper divisors (374302719953568).

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

120855668613120 is an frugal number, since it uses more digits than its factorization.

120855668613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5203891 (or 5203858 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 120855668613120 in words is "one hundred twenty trillion, eight hundred fifty-five billion, six hundred sixty-eight million, six hundred thirteen thousand, one hundred twenty".