120823141824 has 336 divisors, whose sum is σ = 445705967616. Its totient is φ = 30369945600.

The previous prime is 120823141783. The next prime is 120823141837. The reversal of 120823141824 is 428141328021.

120823141824 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 231 + 418 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1330974 + ... + 1418850.

It is an arithmetic number, because the mean of its divisors is an integer number (1326505856).

Almost surely, 2^120823141824 is an apocalyptic number.

120823141824 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 120823141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222852983808).

120823141824 is an abundant number, since it is smaller than the sum of its proper divisors (324882825792).

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

120823141824 is a wasteful number, since it uses less digits than its factorization.

120823141824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87944 (or 87931 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 120823141824 its reverse (428141328021), we get a palindrome (548964469845).

The spelling of 120823141824 in words is "one hundred twenty billion, eight hundred twenty-three million, one hundred forty-one thousand, eight hundred twenty-four".