120752600 has 96 divisors (see below), whose sum is σ = 302808000. Its totient is φ = 44634240.

The previous prime is 120752579. The next prime is 120752609. The reversal of 120752600 is 6257021.

It is a super-4 number, since 4×120752600⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120752609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163031 + ... + 163769.

It is an arithmetic number, because the mean of its divisors is an integer number (3154250).

Almost surely, 2^120752600 is an apocalyptic number.

120752600 is a gapful number since it is divisible by the number (10) 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 120752600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151404000).

120752600 is an abundant number, since it is smaller than the sum of its proper divisors (182055400).

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

120752600 is a wasteful number, since it uses less digits than its factorization.

120752600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 120752600 is about 10988.7487913775. The cubic root of 120752600 is about 494.2714173386.

The spelling of 120752600 in words is "one hundred twenty million, seven hundred fifty-two thousand, six hundred".