120363552 has 72 divisors (see below), whose sum is σ = 344323980. Its totient is φ = 39882240.

The previous prime is 120363547. The next prime is 120363563. The reversal of 120363552 is 255363021.

120363552 is a `hidden beast` number, since 1 + 20 + 3 + 635 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117418896 + 2944656 = 10836^2 + 1716^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50974 + ... + 53282.

Almost surely, 2^120363552 is an apocalyptic number.

120363552 is a gapful number since it is divisible by the number (12) 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 120363552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172161990).

120363552 is an abundant number, since it is smaller than the sum of its proper divisors (223960428).

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

120363552 is a wasteful number, since it uses less digits than its factorization.

120363552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 120363552 is about 10971.0324035617. The cubic root of 120363552 is about 493.7400217606.

The spelling of 120363552 in words is "one hundred twenty million, three hundred sixty-three thousand, five hundred fifty-two".