120083040000 has 2160 divisors, whose sum is σ = 583886096640. Its totient is φ = 23639040000.

The previous prime is 120083039983. The next prime is 120083040013. The reversal of 120083040000 is 40380021.

It is a happy number.

120083040000 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 (2160).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 6320159991 + ... + 6320160009.

Almost surely, 2^120083040000 is an apocalyptic number.

120083040000 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 120083040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291943048320).

120083040000 is an abundant number, since it is smaller than the sum of its proper divisors (463803056640).

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

120083040000 is an equidigital number, since it uses as much as digits as its factorization.

120083040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 120083040000 in words is "one hundred twenty billion, eighty-three million, forty thousand".