120130208759808 has 1536 divisors, whose sum is σ = 411987948019200. Its totient is φ = 34458329677824.

The previous prime is 120130208759801. The next prime is 120130208759819. The reversal of 120130208759808 is 808957802031021.

120130208759808 is a `hidden beast` number, since 1 + 20 + 1 + 3 + 0 + 20 + 8 + 7 + 598 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120130208759801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 424488370035 + ... + 424488370317.

It is an arithmetic number, because the mean of its divisors is an integer number (268221320325).

Almost surely, 2^{120130208759808} is an apocalyptic number.

120130208759808 is a gapful number since it is divisible by the number (18) 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 120130208759808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205993974009600).

120130208759808 is an abundant number, since it is smaller than the sum of its proper divisors (291857739259392).

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

120130208759808 is a wasteful number, since it uses less digits than its factorization.

120130208759808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 120130208759808 in words is "one hundred twenty trillion, one hundred thirty billion, two hundred eight million, seven hundred fifty-nine thousand, eight hundred eight".