120542688 has 192 divisors, whose sum is σ = 423360000. Its totient is φ = 32596992.

The previous prime is 120542687. The next prime is 120542713. The reversal of 120542688 is 886245021.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120542687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114388 + ... + 115436.

It is an arithmetic number, because the mean of its divisors is an integer number (2205000).

Almost surely, 2^120542688 is an apocalyptic number.

120542688 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 120542688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680000).

120542688 is an abundant number, since it is smaller than the sum of its proper divisors (302817312).

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

120542688 is a wasteful number, since it uses less digits than its factorization.

120542688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 120542688 is about 10979.1934129971. The cubic root of 120542688 is about 493.9848433012.

The spelling of 120542688 in words is "one hundred twenty million, five hundred forty-two thousand, six hundred eighty-eight".