120851328 has 128 divisors (see below), whose sum is σ = 354372480. Its totient is φ = 36255744.

The previous prime is 120851321. The next prime is 120851329. The reversal of 120851328 is 823158021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 120851295 and 120851304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120851321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214375 + ... + 214937.

It is an arithmetic number, because the mean of its divisors is an integer number (2768535).

Almost surely, 2^120851328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177186240).

120851328 is an abundant number, since it is smaller than the sum of its proper divisors (233521152).

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

120851328 is a wasteful number, since it uses less digits than its factorization.

120851328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 120851328 is about 10993.2401047189. The cubic root of 120851328 is about 494.4060870000.

The spelling of 120851328 in words is "one hundred twenty million, eight hundred fifty-one thousand, three hundred twenty-eight".