120417613152 has 192 divisors, whose sum is σ = 333423034560. Its totient is φ = 37997568000.

The previous prime is 120417613139. The next prime is 120417613159. The reversal of 120417613152 is 251316714021.

120417613152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120417613159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63343402 + ... + 63345302.

It is an arithmetic number, because the mean of its divisors is an integer number (1736578305).

Almost surely, 2^120417613152 is an apocalyptic number.

120417613152 is a gapful number since it is divisible by the number (12) 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 120417613152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166711517280).

120417613152 is an abundant number, since it is smaller than the sum of its proper divisors (213005421408).

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

120417613152 is a wasteful number, since it uses less digits than its factorization.

120417613152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 120417613152 in words is "one hundred twenty billion, four hundred seventeen million, six hundred thirteen thousand, one hundred fifty-two".