120114114240120 has 768 divisors, whose sum is σ = 509437209254400. Its totient is φ = 22244422717440.

The previous prime is 120114114240047. The next prime is 120114114240139. The reversal of 120114114240120 is 21042411411021.

It is a super-2 number, since 2×120114114240120² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21921427 + ... + 26847293.

It is an arithmetic number, because the mean of its divisors is an integer number (663329699550).

Almost surely, 2^{120114114240120} is an apocalyptic number.

120114114240120 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 120114114240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254718604627200).

120114114240120 is an abundant number, since it is smaller than the sum of its proper divisors (389323095014280).

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

120114114240120 is a wasteful number, since it uses less digits than its factorization.

120114114240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925948 (or 4925937 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 120114114240120 its reverse (21042411411021), we get a palindrome (141156525651141).

The spelling of 120114114240120 in words is "one hundred twenty trillion, one hundred fourteen billion, one hundred fourteen million, two hundred forty thousand, one hundred twenty".