120830456705952 has 384 divisors, whose sum is σ = 365047889246208. Its totient is φ = 34280645529600.

The previous prime is 120830456705899. The next prime is 120830456705957. The reversal of 120830456705952 is 259507654038021.

It is a junction number, because it is equal to n+sod(n) for n = 120830456705892 and 120830456705901.

It is not an unprimeable number, because it can be changed into a prime (120830456705957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124439192827 + ... + 124439193797.

It is an arithmetic number, because the mean of its divisors is an integer number (950645544912).

It is a 1-persistent number, because it is pandigital, but 2⋅120830456705952 = 241660913411904 is not.

Almost surely, 2^{120830456705952} is an apocalyptic number.

120830456705952 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 120830456705952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182523944623104).

120830456705952 is an abundant number, since it is smaller than the sum of its proper divisors (244217432540256).

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

120830456705952 is a wasteful number, since it uses less digits than its factorization.

120830456705952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 120830456705952 in words is "one hundred twenty trillion, eight hundred thirty billion, four hundred fifty-six million, seven hundred five thousand, nine hundred fifty-two".