120187545177744 has 240 divisors, whose sum is σ = 368818120320000. Its totient is φ = 36233716780800.

The previous prime is 120187545177731. The next prime is 120187545177757. The reversal of 120187545177744 is 447771545781021.

It is a happy number.

120187545177744 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 8 + 7 + 5 + 4 + 517 + 77 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (120187545177731) and next prime (120187545177757).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5513432157 + ... + 5513453955.

It is an arithmetic number, because the mean of its divisors is an integer number (1536742168000).

Almost surely, 2^{120187545177744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120187545177744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184409060160000).

120187545177744 is an abundant number, since it is smaller than the sum of its proper divisors (248630575142256).

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

120187545177744 is a wasteful number, since it uses less digits than its factorization.

120187545177744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39514 (or 39505 counting only the distinct ones).

The product of its (nonzero) digits is 61465600, while the sum is 63.

The spelling of 120187545177744 in words is "one hundred twenty trillion, one hundred eighty-seven billion, five hundred forty-five million, one hundred seventy-seven thousand, seven hundred forty-four".