120301545681040 has 40 divisors (see below), whose sum is σ = 279819762409080. Its totient is φ = 48100202151936.

The previous prime is 120301545681001. The next prime is 120301545681143. The reversal of 120301545681040 is 40186545103021.

It can be written as a sum of positive squares in 4 ways, for example, as 24247982002176 + 96053563678864 = 4924224^2 + 9800692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 120301545680984 and 120301545681002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318812145 + ... + 319189264.

It is an arithmetic number, because the mean of its divisors is an integer number (6995494060227).

Almost surely, 2^{120301545681040} is an apocalyptic number.

120301545681040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120301545681040 is an abundant number, since it is smaller than the sum of its proper divisors (159518216728040).

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

120301545681040 is a wasteful number, since it uses less digits than its factorization.

120301545681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638003779 (or 638003773 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 120301545681040 in words is "one hundred twenty trillion, three hundred one billion, five hundred forty-five million, six hundred eighty-one thousand, forty".