120245243144544 has 480 divisors, whose sum is σ = 409598200763136. Its totient is φ = 33896337546240.

The previous prime is 120245243144479. The next prime is 120245243144581. The reversal of 120245243144544 is 445441342542021.

120245243144544 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 4 + 52 + 43 + 14 + 4 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 120245243144544.

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, 411051259 + ... + 411343685.

Almost surely, 2^{120245243144544} is an apocalyptic number.

120245243144544 is a gapful number since it is divisible by the number (14) 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 120245243144544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204799100381568).

120245243144544 is an abundant number, since it is smaller than the sum of its proper divisors (289352957618592).

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

120245243144544 is a wasteful number, since it uses less digits than its factorization.

120245243144544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292760 (or 292743 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

Adding to 120245243144544 its reverse (445441342542021), we get a palindrome (565686585686565).

The spelling of 120245243144544 in words is "one hundred twenty trillion, two hundred forty-five billion, two hundred forty-three million, one hundred forty-four thousand, five hundred forty-four".