120097536 has 144 divisors (see below), whose sum is σ = 359874816. Its totient is φ = 35278848.

The previous prime is 120097511. The next prime is 120097541. The reversal of 120097536 is 635790021.

It is a junction number, because it is equal to n+sod(n) for n = 120097497 and 120097506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229371 + ... + 229893.

Almost surely, 2^120097536 is an apocalyptic number.

120097536 is a gapful number since it is divisible by the number (16) 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 120097536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179937408).

120097536 is an abundant number, since it is smaller than the sum of its proper divisors (239777280).

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

120097536 is a wasteful number, since it uses less digits than its factorization.

120097536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 120097536 is about 10958.9021347943. The cubic root of 120097536 is about 493.3760144876.

The spelling of 120097536 in words is "one hundred twenty million, ninety-seven thousand, five hundred thirty-six".