120074651424 has 1008 divisors, whose sum is σ = 463724049600. Its totient is φ = 29870290944.

The previous prime is 120074651377. The next prime is 120074651441. The reversal of 120074651424 is 424156470021.

It is a tau number, because it is divible by the number of its divisors (1008).

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

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 167 ways as a sum of consecutive naturals, for example, 524343342 + ... + 524343570.

It is an arithmetic number, because the mean of its divisors is an integer number (460043700).

Almost surely, 2^120074651424 is an apocalyptic number.

120074651424 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 120074651424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231862024800).

120074651424 is an abundant number, since it is smaller than the sum of its proper divisors (343649398176).

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

120074651424 is a wasteful number, since it uses less digits than its factorization.

120074651424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 120074651424 in words is "one hundred twenty billion, seventy-four million, six hundred fifty-one thousand, four hundred twenty-four".