120012102012330 has 576 divisors, whose sum is σ = 375223266902016. Its totient is φ = 26360024832000.

The previous prime is 120012102012307. The next prime is 120012102012371. The reversal of 120012102012330 is 33210201210021.

120012102012330 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 210 + 201 + 233 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1694021889 + ... + 1694092731.

It is an arithmetic number, because the mean of its divisors is an integer number (651429282816).

Almost surely, 2^{120012102012330} is an apocalyptic number.

120012102012330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120012102012330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187611633451008).

120012102012330 is an abundant number, since it is smaller than the sum of its proper divisors (255211164889686).

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

120012102012330 is a wasteful number, since it uses less digits than its factorization.

120012102012330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71123 (or 71103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120012102012330 its reverse (33210201210021), we get a palindrome (153222303222351).

The spelling of 120012102012330 in words is "one hundred twenty trillion, twelve billion, one hundred two million, twelve thousand, three hundred thirty".