120533034130300 has 288 divisors, whose sum is σ = 297058747023360. Its totient is φ = 42053891040000.

The previous prime is 120533034130253. The next prime is 120533034130307. The reversal of 120533034130300 is 3031430335021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120533034130307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7011394705 + ... + 7011411895.

It is an arithmetic number, because the mean of its divisors is an integer number (1031453982720).

Almost surely, 2^{120533034130300} is an apocalyptic number.

120533034130300 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 120533034130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148529373511680).

120533034130300 is an abundant number, since it is smaller than the sum of its proper divisors (176525712893060).

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

120533034130300 is a wasteful number, since it uses less digits than its factorization.

120533034130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18993 (or 18986 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 120533034130300 its reverse (3031430335021), we get a palindrome (123564464465321).

The spelling of 120533034130300 in words is "one hundred twenty trillion, five hundred thirty-three billion, thirty-four million, one hundred thirty thousand, three hundred".