120720945240 has 960 divisors, whose sum is σ = 513269222400. Its totient is φ = 25278220800.

The previous prime is 120720945157. The next prime is 120720945253. The reversal of 120720945240 is 42549027021.

120720945240 is a `hidden beast` number, since 1 + 20 + 7 + 20 + 94 + 524 + 0 = 666.

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 = 120720945195 and 120720945204.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 93508995 + ... + 93510285.

It is an arithmetic number, because the mean of its divisors is an integer number (534655440).

Almost surely, 2^120720945240 is an apocalyptic number.

120720945240 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 120720945240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256634611200).

120720945240 is an abundant number, since it is smaller than the sum of its proper divisors (392548277160).

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

120720945240 is a wasteful number, since it uses less digits than its factorization.

120720945240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 120720945240 in words is "one hundred twenty billion, seven hundred twenty million, nine hundred forty-five thousand, two hundred forty".