120413140313520 has 160 divisors (see below), whose sum is σ = 379621975852800. Its totient is φ = 31564729101312.

The previous prime is 120413140313491. The next prime is 120413140313533. The reversal of 120413140313520 is 25313041314021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408269466 + ... + 408564294.

It is an arithmetic number, because the mean of its divisors is an integer number (2372637349080).

Almost surely, 2^{120413140313520} is an apocalyptic number.

120413140313520 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 120413140313520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189810987926400).

120413140313520 is an abundant number, since it is smaller than the sum of its proper divisors (259208835539280).

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

120413140313520 is a wasteful number, since it uses less digits than its factorization.

120413140313520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323747 (or 323741 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 120413140313520 its reverse (25313041314021), we get a palindrome (145726181627541).

The spelling of 120413140313520 in words is "one hundred twenty trillion, four hundred thirteen billion, one hundred forty million, three hundred thirteen thousand, five hundred twenty".