120415253235520 has 112 divisors (see below), whose sum is σ = 287217535117248. Its totient is φ = 48085716602880.

The previous prime is 120415253235517. The next prime is 120415253235611. The reversal of 120415253235520 is 25532352514021.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1116131980 + ... + 1116239860.

Almost surely, 2^{120415253235520} is an apocalyptic number.

120415253235520 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 120415253235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143608767558624).

120415253235520 is an abundant number, since it is smaller than the sum of its proper divisors (166802281881728).

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

120415253235520 is a wasteful number, since it uses less digits than its factorization.

120415253235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113688 (or 113678 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 120415253235520 in words is "one hundred twenty trillion, four hundred fifteen billion, two hundred fifty-three million, two hundred thirty-five thousand, five hundred twenty".