120561480 has 256 divisors, whose sum is σ = 448358400. Its totient is φ = 28615680.

The previous prime is 120561473. The next prime is 120561487. The reversal of 120561480 is 84165021.

120561480 is a `hidden beast` number, since 1 + 20 + 561 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (120561473) and next prime (120561487).

It is a super-3 number, since 3×120561480³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120561487) 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, 435102 + ... + 435378.

It is an arithmetic number, because the mean of its divisors is an integer number (1751400).

Almost surely, 2^120561480 is an apocalyptic number.

120561480 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 120561480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224179200).

120561480 is an abundant number, since it is smaller than the sum of its proper divisors (327796920).

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

120561480 is a wasteful number, since it uses less digits than its factorization.

120561480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120561480 is about 10980.0491802177. The cubic root of 120561480 is about 494.0105118865.

The spelling of 120561480 in words is "one hundred twenty million, five hundred sixty-one thousand, four hundred eighty".