120420823824 has 1280 divisors, whose sum is σ = 470369894400. Its totient is φ = 28665446400.

The previous prime is 120420823819. The next prime is 120420823879. The reversal of 120420823824 is 428328024021.

120420823824 is a `hidden beast` number, since 120 + 420 + 82 + 38 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1241451744 + ... + 1241451840.

It is an arithmetic number, because the mean of its divisors is an integer number (367476480).

Almost surely, 2^120420823824 is an apocalyptic number.

120420823824 is a gapful number since it is divisible by the number (14) 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 120420823824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235184947200).

120420823824 is an abundant number, since it is smaller than the sum of its proper divisors (349949070576).

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

120420823824 is a wasteful number, since it uses less digits than its factorization.

120420823824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 120420823824 its reverse (428328024021), we get a palindrome (548748847845).

The spelling of 120420823824 in words is "one hundred twenty billion, four hundred twenty million, eight hundred twenty-three thousand, eight hundred twenty-four".