120159063821808 has 400 divisors, whose sum is σ = 382261360707072. Its totient is φ = 36137404800000.

The previous prime is 120159063821803. The next prime is 120159063821843. The reversal of 120159063821808 is 808128360951021.

120159063821808 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 590 + 6 + 38 + 2 + 18 + 0 + 8 = 666.

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 (120159063821803) 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 79 ways as a sum of consecutive naturals, for example, 1005430185 + ... + 1005549687.

Almost surely, 2^{120159063821808} is an apocalyptic number.

120159063821808 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 120159063821808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191130680353536).

120159063821808 is an abundant number, since it is smaller than the sum of its proper divisors (262102296885264).

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

120159063821808 is a wasteful number, since it uses less digits than its factorization.

120159063821808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120066 (or 120051 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 120159063821808 in words is "one hundred twenty trillion, one hundred fifty-nine billion, sixty-three million, eight hundred twenty-one thousand, eight hundred eight".