120280027127040 has 1152 divisors, whose sum is σ = 475150419394560. Its totient is φ = 28567904256000.

The previous prime is 120280027127033. The next prime is 120280027127063. The reversal of 120280027127040 is 40721720082021.

120280027127040 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 80 + 0 + 271 + 270 + 40 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 120280027126986 and 120280027127004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4190489329 + ... + 4190518031.

It is an arithmetic number, because the mean of its divisors is an integer number (412456961280).

Almost surely, 2^{120280027127040} is an apocalyptic number.

120280027127040 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 120280027127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237575209697280).

120280027127040 is an abundant number, since it is smaller than the sum of its proper divisors (354870392267520).

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

120280027127040 is a wasteful number, since it uses less digits than its factorization.

120280027127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28968 (or 28948 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 120280027127040 in words is "one hundred twenty trillion, two hundred eighty billion, twenty-seven million, one hundred twenty-seven thousand, forty".