120312213123120 has 320 divisors, whose sum is σ = 391111817241600. Its totient is φ = 30561519366144.

The previous prime is 120312213123073. The next prime is 120312213123169. The reversal of 120312213123120 is 21321312213021.

120312213123120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219515181 + ... + 220062579.

It is an arithmetic number, because the mean of its divisors is an integer number (1222224428880).

Almost surely, 2^{120312213123120} is an apocalyptic number.

120312213123120 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 120312213123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195555908620800).

120312213123120 is an abundant number, since it is smaller than the sum of its proper divisors (270799604118480).

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

120312213123120 is a wasteful number, since it uses less digits than its factorization.

120312213123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547972 (or 547966 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 120312213123120 its reverse (21321312213021), we get a palindrome (141633525336141).

The spelling of 120312213123120 in words is "one hundred twenty trillion, three hundred twelve billion, two hundred thirteen million, one hundred twenty-three thousand, one hundred twenty".