120313011133200 has 240 divisors, whose sum is σ = 396436563686016. Its totient is φ = 31167642009600.

The previous prime is 120313011133177. The next prime is 120313011133223. The reversal of 120313011133200 is 2331110313021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120313011133177) and next prime (120313011133223).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26346709 + ... + 30574091.

Almost surely, 2^{120313011133200} is an apocalyptic number.

120313011133200 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 120313011133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198218281843008).

120313011133200 is an abundant number, since it is smaller than the sum of its proper divisors (276123552552816).

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

120313011133200 is a wasteful number, since it uses less digits than its factorization.

120313011133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228082 (or 4228071 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 120313011133200 its reverse (2331110313021), we get a palindrome (122644121446221).

The spelling of 120313011133200 in words is "one hundred twenty trillion, three hundred thirteen billion, eleven million, one hundred thirty-three thousand, two hundred".