120220739315820 has 576 divisors, whose sum is σ = 445609754343936. Its totient is φ = 26822661304320.

The previous prime is 120220739315819. The next prime is 120220739315821. The reversal of 120220739315820 is 28513937022021.

120220739315820 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 2 + 0 + 7 + 39 + 31 + 582 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120220739315819) and next prime (120220739315821).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (120220739315821) 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 191 ways as a sum of consecutive naturals, for example, 233951607 + ... + 234464913.

It is an arithmetic number, because the mean of its divisors is an integer number (773628045736).

Almost surely, 2^{120220739315820} is an apocalyptic number.

120220739315820 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 120220739315820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222804877171968).

120220739315820 is an abundant number, since it is smaller than the sum of its proper divisors (325389015028116).

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

120220739315820 is a wasteful number, since it uses less digits than its factorization.

120220739315820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513692 (or 513678 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 120220739315820 in words is "one hundred twenty trillion, two hundred twenty billion, seven hundred thirty-nine million, three hundred fifteen thousand, eight hundred twenty".