120363413683680 has 288 divisors, whose sum is σ = 412834906673280. Its totient is φ = 31933326781440.

The previous prime is 120363413683679. The next prime is 120363413683687. The reversal of 120363413683680 is 86386314363021.

120363413683680 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 63 + 413 + 68 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120363413683687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 863747451 + ... + 863886789.

It is an arithmetic number, because the mean of its divisors is an integer number (1433454537060).

Almost surely, 2^{120363413683680} is an apocalyptic number.

120363413683680 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 120363413683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206417453336640).

120363413683680 is an abundant number, since it is smaller than the sum of its proper divisors (292471492989600).

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

120363413683680 is a wasteful number, since it uses less digits than its factorization.

120363413683680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142414 (or 142403 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 120363413683680 in words is "one hundred twenty trillion, three hundred sixty-three billion, four hundred thirteen million, six hundred eighty-three thousand, six hundred eighty".