120233806482120 has 256 divisors, whose sum is σ = 372916489420800. Its totient is φ = 30979811681280.

The previous prime is 120233806482091. The next prime is 120233806482149. The reversal of 120233806482120 is 21284608332021.

It is an interprime number because it is at equal distance from previous prime (120233806482091) and next prime (120233806482149).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12794909262 + ... + 12794918658.

It is an arithmetic number, because the mean of its divisors is an integer number (1456705036800).

Almost surely, 2^{120233806482120} is an apocalyptic number.

120233806482120 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 120233806482120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186458244710400).

120233806482120 is an abundant number, since it is smaller than the sum of its proper divisors (252682682938680).

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

120233806482120 is a wasteful number, since it uses less digits than its factorization.

120233806482120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14428 (or 14424 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 120233806482120 in words is "one hundred twenty trillion, two hundred thirty-three billion, eight hundred six million, four hundred eighty-two thousand, one hundred twenty".