120253425340314 has 96 divisors (see below), whose sum is σ = 281811514665600. Its totient is φ = 33510718586880.

The previous prime is 120253425340283. The next prime is 120253425340319. The reversal of 120253425340314 is 413043524352021.

It is a happy number.

It is a super-3 number, since 3×120253425340314³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (120253425340319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253435962 + ... + 253910010.

It is an arithmetic number, because the mean of its divisors is an integer number (2935536611100).

Almost surely, 2^{120253425340314} is an apocalyptic number.

120253425340314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120253425340314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140905757332800).

120253425340314 is an abundant number, since it is smaller than the sum of its proper divisors (161558089325286).

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

120253425340314 is a wasteful number, since it uses less digits than its factorization.

120253425340314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477736 (or 477695 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 120253425340314 its reverse (413043524352021), we get a palindrome (533296949692335).

The spelling of 120253425340314 in words is "one hundred twenty trillion, two hundred fifty-three billion, four hundred twenty-five million, three hundred forty thousand, three hundred fourteen".