120954528 has 72 divisors (see below), whose sum is σ = 351999648. Its totient is φ = 39376512.

The previous prime is 120954499. The next prime is 120954577. The reversal of 120954528 is 825459021.

120954528 is a `hidden beast` number, since 120 + 9 + 5 + 4 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 120954492 and 120954501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7501 + ... + 17267.

It is an arithmetic number, because the mean of its divisors is an integer number (4888884).

Almost surely, 2^120954528 is an apocalyptic number.

120954528 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 120954528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175999824).

120954528 is an abundant number, since it is smaller than the sum of its proper divisors (231045120).

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

120954528 is a wasteful number, since it uses less digits than its factorization.

120954528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9826 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 120954528 is about 10997.9328966856. The cubic root of 120954528 is about 494.5467783007.

The spelling of 120954528 in words is "one hundred twenty million, nine hundred fifty-four thousand, five hundred twenty-eight".