120061440 has 240 divisors, whose sum is σ = 433441008. Its totient is φ = 31850496.

The previous prime is 120061433. The next prime is 120061451. The reversal of 120061440 is 44160021.

120061440 is a `hidden beast` number, since 12 + 0 + 0 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621984 + ... + 622176.

Almost surely, 2^120061440 is an apocalyptic number.

120061440 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 120061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216720504).

120061440 is an abundant number, since it is smaller than the sum of its proper divisors (313379568).

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

120061440 is an frugal number, since it uses more digits than its factorization.

120061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120061440 is about 10957.2551307342. The cubic root of 120061440 is about 493.3265805423.

It can be divided in two parts, 1 and 20061440, that added together give a square (20061441 = 4479²).

The spelling of 120061440 in words is "one hundred twenty million, sixty-one thousand, four hundred forty".