120354474240 has 2304 divisors, whose sum is σ = 593381376000. Its totient is φ = 22759833600.

The previous prime is 120354474217. The next prime is 120354474241. The reversal of 120354474240 is 42474453021.

120354474240 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 544 + 74 + 2 + 40 = 666.

120354474240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120354474195 and 120354474204.

It is not an unprimeable number, because it can be changed into a prime (120354474241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1695133405 + ... + 1695133475.

It is an arithmetic number, because the mean of its divisors is an integer number (257544000).

Almost surely, 2^120354474240 is an apocalyptic number.

120354474240 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 120354474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296690688000).

120354474240 is an abundant number, since it is smaller than the sum of its proper divisors (473026901760).

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

120354474240 is a wasteful number, since it uses less digits than its factorization.

120354474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 120354474240 in words is "one hundred twenty billion, three hundred fifty-four million, four hundred seventy-four thousand, two hundred forty".