120314121240000 has 560 divisors, whose sum is σ = 411394031769600. Its totient is φ = 31003534848000.

The previous prime is 120314121239957. The next prime is 120314121240037. The reversal of 120314121240000 is 42121413021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 445424986 + ... + 445695014.

Almost surely, 2^{120314121240000} is an apocalyptic number.

120314121240000 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 120314121240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205697015884800).

120314121240000 is an abundant number, since it is smaller than the sum of its proper divisors (291079910529600).

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

120314121240000 is an equidigital number, since it uses as much as digits as its factorization.

120314121240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270190 (or 270165 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 120314121240000 its reverse (42121413021), we get a palindrome (120356242653021).

The spelling of 120314121240000 in words is "one hundred twenty trillion, three hundred fourteen billion, one hundred twenty-one million, two hundred forty thousand".