120082869760 has 480 divisors, whose sum is σ = 358875601920. Its totient is φ = 37643304960.

The previous prime is 120082869707. The next prime is 120082869763. The reversal of 120082869760 is 67968280021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120082869763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327201097 + ... + 327201463.

It is an arithmetic number, because the mean of its divisors is an integer number (747657504).

Almost surely, 2^120082869760 is an apocalyptic number.

120082869760 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 120082869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179437800960).

120082869760 is an abundant number, since it is smaller than the sum of its proper divisors (238792732160).

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

120082869760 is an equidigital number, since it uses as much as digits as its factorization.

120082869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 120082869760 in words is "one hundred twenty billion, eighty-two million, eight hundred sixty-nine thousand, seven hundred sixty".