120993558 has 128 divisors (see below), whose sum is σ = 309166080. Its totient is φ = 30792960.

The previous prime is 120993533. The next prime is 120993559. The reversal of 120993558 is 855399021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120993559) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1657410 + ... + 1657482.

It is an arithmetic number, because the mean of its divisors is an integer number (2415360).

Almost surely, 2^120993558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120993558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154583040).

120993558 is an abundant number, since it is smaller than the sum of its proper divisors (188172522).

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

120993558 is a wasteful number, since it uses less digits than its factorization.

120993558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202.

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 120993558 is about 10999.7071779207. The cubic root of 120993558 is about 494.5999665671.

The spelling of 120993558 in words is "one hundred twenty million, nine hundred ninety-three thousand, five hundred fifty-eight".