120103567879680 has 7680 divisors, whose sum is σ = 603218991513600. Its totient is φ = 22348298649600.

The previous prime is 120103567879679. The next prime is 120103567879681. The reversal of 120103567879680 is 86978765301021.

120103567879680 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 3 + 567 + 8 + 7 + 9 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120103567879679) and next prime (120103567879681).

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120103567879681) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2793106229739 + ... + 2793106229781.

It is an arithmetic number, because the mean of its divisors is an integer number (78544139520).

Almost surely, 2^{120103567879680} is an apocalyptic number.

120103567879680 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 120103567879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301609495756800).

120103567879680 is an abundant number, since it is smaller than the sum of its proper divisors (483115423633920).

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

120103567879680 is an equidigital number, since it uses as much as digits as its factorization.

120103567879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 120103567879680 in words is "one hundred twenty trillion, one hundred three billion, five hundred sixty-seven million, eight hundred seventy-nine thousand, six hundred eighty".