120300303333120 has 288 divisors, whose sum is σ = 407281209495552. Its totient is φ = 30158017069056.

The previous prime is 120300303332981. The next prime is 120300303333121. The reversal of 120300303333120 is 21333303003021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120300303333121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55268949 + ... + 57404331.

It is an arithmetic number, because the mean of its divisors is an integer number (1414170866304).

Almost surely, 2^{120300303333120} is an apocalyptic number.

120300303333120 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 120300303333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203640604747776).

120300303333120 is an abundant number, since it is smaller than the sum of its proper divisors (286980906162432).

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

120300303333120 is a wasteful number, since it uses less digits than its factorization.

120300303333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136287 (or 2136273 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 120300303333120 its reverse (21333303003021), we get a palindrome (141633606336141).

The spelling of 120300303333120 in words is "one hundred twenty trillion, three hundred billion, three hundred three million, three hundred thirty-three thousand, one hundred twenty".