120411948805632 has 960 divisors, whose sum is σ = 431010281433600. Its totient is φ = 32848678748160.

The previous prime is 120411948805591. The next prime is 120411948805657. The reversal of 120411948805632 is 236508849114021.

120411948805632 is a `hidden beast` number, since 1 + 2 + 0 + 411 + 94 + 8 + 80 + 5 + 63 + 2 = 666.

120411948805632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1010709844 + ... + 1010828972.

It is an arithmetic number, because the mean of its divisors is an integer number (448969043160).

Almost surely, 2^{120411948805632} is an apocalyptic number.

120411948805632 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 120411948805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215505140716800).

120411948805632 is an abundant number, since it is smaller than the sum of its proper divisors (310598332627968).

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

120411948805632 is a wasteful number, since it uses less digits than its factorization.

120411948805632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119224 (or 119185 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 120411948805632 in words is "one hundred twenty trillion, four hundred eleven billion, nine hundred forty-eight million, eight hundred five thousand, six hundred thirty-two".