120144315144300 has 72 divisors (see below), whose sum is σ = 347945184739152. Its totient is φ = 32008287456000.

The previous prime is 120144315144247. The next prime is 120144315144317. The reversal of 120144315144300 is 3441513441021.

It is a super-2 number, since 2×120144315144300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188409811 + ... + 189046410.

It is an arithmetic number, because the mean of its divisors is an integer number (4832572010266).

Almost surely, 2^{120144315144300} is an apocalyptic number.

120144315144300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120144315144300 is an abundant number, since it is smaller than the sum of its proper divisors (227800869594852).

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

120144315144300 is a wasteful number, since it uses less digits than its factorization.

120144315144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377457299 (or 377457292 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 120144315144300 its reverse (3441513441021), we get a palindrome (123585828585321).

The spelling of 120144315144300 in words is "one hundred twenty trillion, one hundred forty-four billion, three hundred fifteen million, one hundred forty-four thousand, three hundred".