120221418240 has 1620 divisors, whose sum is σ = 555383849328. Its totient is φ = 24305909760.

The previous prime is 120221418217. The next prime is 120221418259. The reversal of 120221418240 is 42814122021.

120221418240 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 2 + 1 + 418 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3249227502 + ... + 3249227538.

Almost surely, 2^120221418240 is an apocalyptic number.

120221418240 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 120221418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277691924664).

120221418240 is an abundant number, since it is smaller than the sum of its proper divisors (435162431088).

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

120221418240 is an equidigital number, since it uses as much as digits as its factorization.

120221418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 120221418240 in words is "one hundred twenty billion, two hundred twenty-one million, four hundred eighteen thousand, two hundred forty".