120461280 has 96 divisors (see below), whose sum is σ = 388771488. Its totient is φ = 31334400.

The previous prime is 120461251. The next prime is 120461287. The reversal of 120461280 is 82164021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120461280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120461287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16620 + ... + 22740.

It is an arithmetic number, because the mean of its divisors is an integer number (4049703).

Almost surely, 2^120461280 is an apocalyptic number.

120461280 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 120461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194385744).

120461280 is an abundant number, since it is smaller than the sum of its proper divisors (268310208).

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

120461280 is a wasteful number, since it uses less digits than its factorization.

120461280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6180 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 120461280 is about 10975.4854106777. The cubic root of 120461280 is about 493.8736147258.

It can be divided in two parts, 120 and 461280, that multiplied together give a square (55353600 = 7440²).

The spelling of 120461280 in words is "one hundred twenty million, four hundred sixty-one thousand, two hundred eighty".