120711213484848 has 720 divisors, whose sum is σ = 425981045468160. Its totient is φ = 32570992726272.

The previous prime is 120711213484847. The next prime is 120711213484867. The reversal of 120711213484848 is 848484312117021.

It is a happy number.

120711213484848 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 1 + 121 + 34 + 8 + 484 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120711213484794 and 120711213484803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120711213484847) 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 143 ways as a sum of consecutive naturals, for example, 3038498361 + ... + 3038538087.

It is an arithmetic number, because the mean of its divisors is an integer number (591640340928).

Almost surely, 2^{120711213484848} is an apocalyptic number.

120711213484848 is a gapful number since it is divisible by the number (18) 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 120711213484848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212990522734080).

120711213484848 is an abundant number, since it is smaller than the sum of its proper divisors (305269831983312).

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

120711213484848 is a wasteful number, since it uses less digits than its factorization.

120711213484848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39939 (or 39841 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 120711213484848 in words is "one hundred twenty trillion, seven hundred eleven billion, two hundred thirteen million, four hundred eighty-four thousand, eight hundred forty-eight".